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06F20 Ordered abelian groups, Riesz groups, ordered linear spaces (122 articles)

• Ball, Richard N.: Structural aspects of truncated archimedean vector lattices: good sequences, simple elements. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 1, pp. 95-134
• Lafuente-Rodriguez, Ramiro; McGovern, Warren Wm.: When ${\rm Min}(G)^{-1}$ has a clopen $\pi $-base. (English). Mathematica Bohemica, vol. 146 (2021), issue 1, pp. 69-89
• Růžička, Pavel: On the construction and the realization of wild monoids. (English). Archivum Mathematicum, vol. 54 (2018), issue 1, pp. 33-64
• Lipecki, Zbigniew: Order-theoretic properties of some sets of quasi-measures. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 58 (2017), issue 2, pp. 197-212
• Hager, Anthony W.: The $\sigma$-property in $C(X)$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 2, pp. 231-239
• Hong, Liang: Locally solid topological lattice-ordered groups. (English). Archivum Mathematicum, vol. 51 (2015), issue 2, pp. 107-128
• Lipecki, Zbigniew: Order boundedness and weak compactness of the set of quasi-measure extensions of a quasi-measure. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 3, pp. 331-345
• Ball, Richard N.; Hager, Anthony W.: Frame monomorphisms and a feature of the $l$-group of Baire functions on a topological space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 2, pp. 141-157
• Hager, Anthony W.: Local/global uniform approximation of real-valued continuous functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 2, pp. 283-291
• Jakubík, Ján: On the distributive radical of an Archimedean lattice-ordered group. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 3, pp. 687-693
• Jakubík, Ján: On the Schröder-Bernstein problem for Carathéodory vector lattices. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 2, pp. 419-430
• Jakubík, Ján: Projectability and weak homogeneity of pseudo effect algebras. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 1, pp. 183-196
• Gardner, B. J.; Parmenter, M. M.: Directoid groups. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 3, pp. 669-681
• Jakubík, Ján: On some types of radical classes. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 3, pp. 833-848
• Knox, Michelle L.; McGovern, Warren Wm.: Rigid extensions of $\ell$-groups of continuous functions. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 993-1014
• Amor, Fethi Ben: Riesz spaces of order bounded disjointness preserving operators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 4, pp. 607-622
• Švrček, Filip: Additive closure operators on abelian unital $l$-groups. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 45 (2006), issue 1, pp. 153-158
• Růžička, Pavel: Countable chains of distributive lattices as maximal semilattice quotients of positive cones of dimension groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 1, pp. 11-20
• Dvurečenskij, Anatolij: Holland’s theorem for pseudo-effect algebras. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 1, pp. 47-59
• Foulis, David J.: Sharp and fuzzy elements of an RC-group. (English). Mathematica Slovaca, vol. 56 (2006), issue 5, pp. 525-541
• Jakubík, Ján: Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 733-754
• Jakubík, Ján: Torsion classes and subdirect products of Carathéodory vector lattices. (English). Mathematica Slovaca, vol. 56 (2006), issue 1, pp. 79-92
• Jakubík, Ján: Affine completeness and lexicographic product decompositions of abelian lattice ordered groups. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 4, pp. 917-922
• Foulis, David J.: Compressible groups with general comparability. (English). Mathematica Slovaca, vol. 55 (2005), issue 4, pp. 409-429
• Chajda, I.; Halaš, R.; Kühr, J.; Vanžurová, A.: Normalization of $MV$-algebras. (English). Mathematica Bohemica, vol. 130 (2005), issue 3, pp. 283-300
• Jakubík, Ján: On vector lattices of elementary Carathéodory functions. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 223-236
• Jakubík, Ján: Strong projectability of lattice ordered groups. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 4, pp. 957-973
• Hager, Anthony W.; Kimber, Chawne M.; McGovern, Warren W.: Unique $a$-closure for some $\ell$-groups of rational valued functions. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 2, pp. 409-421
• Cook, Thurlow A.; Foulis, David J.: The base-normed space of a unital group. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 69-85
• Dvurečenskij, Anatolij: Lorenzen's theorem for pseudo-effect algebras. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 23-42
• Příhoda, Pavel: Bases of minimal elements of some partially ordered free abelian groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 4, pp. 623-628
• Foulis, David J.: Compressible groups. (English). Mathematica Slovaca, vol. 53 (2003), issue 5, pp. 433-455
• Jakubík, Ján: Higher degrees of distributivity in $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 641-653
• Jakubík, Ján: On Carathéodory vector lattices. (English). Mathematica Slovaca, vol. 53 (2003), issue 5, pp. 479-503
• Jakubík, Ján: On free $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 2, pp. 311-317
• Kontolatou, A.: The Cauchy extension of an ordered abelian group realized by $r$-valuations. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 61-69
• Triki, Abdelmajid: On algebra homomorphisms in complex almost $f$-algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 1, pp. 23-31
• Jakubík, Ján: Sequential convergences on generalized Boolean algebras. (English). Mathematica Bohemica, vol. 127 (2002), issue 1, pp. 1-14
• Močkoř, Jiří: Topological characterizations of ordered groups with quasi-divisor theory. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 3, pp. 595-607
• Jakubík, Ján: Complete distributivity of lattice ordered groups and of vector lattices. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 4, pp. 889-896
• Jakubík, Ján: On the congruence lattice of an abelian lattice ordered group. (English). Mathematica Bohemica, vol. 126 (2001), issue 3, pp. 653-660
• Conrad, Paul F.; Darnel, Michael R.: Subgroups and hulls of Specker lattice-ordered groups. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 2, pp. 395-413
• Jakubík, Ján: Weak $\sigma $-distributivity of lattice ordered groups. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 151-159
• Jakubík, Ján: Nearly disjoint sequences in convergence $l$-groups. (English). Mathematica Bohemica, vol. 125 (2000), issue 2, pp. 139-144
• Jakubík, Ján: On cut completions of abelian lattice ordered groups. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 587-602
• Kalapodi, A.; Kontolatou, A.; Močkoř, J.: Some properties of Lorenzen ideal systems. (English). Archivum Mathematicum, vol. 36 (2000), issue 4, pp. 287-295
• Kalapodi, Aleka; Kontolatou, Angeliki: The theory of quasi-divisors on cartesian products. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 8 (2000), issue 1, pp. 51-59
• Jakubík, Ján: Distinguished extensions of an $MV$-algebra. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 867-876
• Jakubík, Ján: Radical classes of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 1, pp. 191-211
• Jakubík, Ján: Subdirect product decompositions of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 1, pp. 163-173
• Jakubík, Ján; Csontóová, Mária: Affine completness of projectable lattice ordered groups. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 2, pp. 359-363
• Černák, Štefan: Cantor extension of a half lattice ordered group. (English). Mathematica Slovaca, vol. 48 (1998), issue 3, pp. 221-231
• Jakubík, Ján: Lexicographic product decompositions of cyclically ordered groups. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 2, pp. 229-241
• Jakubík, Ján: On archimedean $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 3, pp. 575-582
• Medvedev, N. Ya.; Morozova, S. V.: On covers in the lattice of representable $\ell$-varieties. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 821-831
• Ton, Dao-Rong: The ${\scr Ar}$-free products of archimedean $l$-groups. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 2, pp. 243-252
• Rachůnek, Jiří: Spectra of autometrized lattice algebras. (English). Mathematica Bohemica, vol. 123 (1998), issue 1, pp. 87-94
• Jakubík, Ján: Closed convex $l$-subgroups and radical classes of convergence $l$-groups. (English). Mathematica Bohemica, vol. 122 (1997), issue 3, pp. 301-315
• Jakubík, Ján: Convergence $l$-groups with zero radical. (English). Mathematica Bohemica, vol. 122 (1997), issue 1, pp. 63-73
• Haluška, Ján: On integration in complete bornological locally convex spaces. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 2, pp. 205-219
• Jakubík, Ján: Principal convergences on lattice ordered groups. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 4, pp. 721-732
• Močkoř, Jiří; Kontolatou, Angeliki: Some remarks on Lorenzen $r$-group of partly ordered groups. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 3, pp. 537-552
• Conrad, Paul; Martinez, Jorge: On adjoining units to hyper-archimedean $l$-groups. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 3, pp. 503-516
• Jakubík, Ján: On some completeness properties for lattice ordered groups. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 2, pp. 253-266
• Jakubík, Ján: Sequential convergences on $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 4, pp. 709-726
• Ton, Dao-Rong: Some properties of an archimedean $\ell$-group. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 2, pp. 293-302
• Zhang, Yue Hui: Unique covering on radical classes of $\ell$-groups. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 3, pp. 435-441
• Jakubík, Ján: Complete retract mappings of a complete lattice ordered group. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 2, pp. 309-318
• Jasem, Milan: On isometries in partially ordered groups. (English). Mathematica Slovaca, vol. 43 (1993), issue 1, pp. 21-29
• Martinez, Jorge: Locally conditioned radical classes of lattice-ordered groups. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 1, pp. 25-34
• Jakubík, Ján: Sequential convergences in $\ell$-groups without Urysohn’s axiom. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 1, pp. 101-116
• Jakubík, Ján: Sequential convergences on free lattice ordered groups. (English). Mathematica Bohemica, vol. 117 (1992), issue 1, pp. 48-54
• Šmarda, Bohumil: Weak Riesz groups. (English). Mathematica Slovaca, vol. 42 (1992), issue 3, pp. 257-263
• Jakubík, Ján: Lattice ordered groups with unique addition must be archimedean. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 3, pp. 559-563
• Jakubík, Ján: Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 3, pp. 453-458
• Abramovich, Yurij Aleksandrovich; Lipecki, Zbigniew: On lattices and algebras of simple functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 4, pp. 627-635
• Volauf, Peter: On the lattice group valued submeasures. (English). Mathematica Slovaca, vol. 40 (1990), issue 4, pp. 407-411
• Černák, Štefan: Cantor extension of an Abelian cyclically ordered group. (English). Mathematica Slovaca, vol. 39 (1989), issue 1, pp. 31-41
• Jakubík, Ján: On some types of kernels of a convergence $l$-group. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 2, pp. 239-247
• Valdés, Julio J.: Partially ordered combining structures and multiple sources of knowledge evidences in rule-based expert systems. (English). Kybernetika, vol. 25 (1989), issue 7, pp. 15-19
• Jakubík, Ján: Retracts of abelian cyclically ordered groups. (English). Archivum Mathematicum, vol. 25 (1989), issue 1, pp. 13-18
• Jakubík, Ján: Retracts of abelian lattice ordered groups. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 3, pp. 477-485
• Jakubík, Ján: $K$-radical classes of abelian linearly ordered groups. (English). Mathematica Slovaca, vol. 38 (1988), issue 1, pp. 33-44
• Jakubík, Ján; Pringerová, Gabriela: Radical classes of cyclically ordered groups. (English). Mathematica Slovaca, vol. 38 (1988), issue 3, pp. 255-268
• Harminc, Matúš: Sequential convergences on cyclically ordered groups. (English). Mathematica Slovaca, vol. 38 (1988), issue 3, pp. 249-253
• Jakubík, Ján: Unequivocal linearly ordered groups. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 2, pp. 245-255
• Harminc, Matúš: Cardinality of the system of all sequential convergences on an Abelian lattice ordered group. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 4, pp. 533-546
• Redfield, R. H.: The dual space of a totally ordered abelian group. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 4, pp. 613-627
• Gologan, Radu-Nicolae: Ergodic theorems in $\sigma$ -lattice cones. (English). In: Frolík, Z., Souček, V. and Fabián, M. (eds.): Proceedings of the 14th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1987. pp. [439]-446
• Jasem, Milan: Pairs of partially ordered groups with the same convex subgroups. (English). Mathematica Slovaca, vol. 37 (1987), issue 2, pp. 173-189
• Veldsman, Stefan: A remark on radical-semisimple classes of fully ordered groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 2, pp. 217-219
• Koldunov, A. V.; Rotkovič, G. Ja.: Архимедовы решеточно упорядоченные группы co свойством отщепляемости. (Russian) [Archimedean lattice ordered groups with splitting property]. Czechoslovak Mathematical Journal, vol. 37 (1987), issue 1, pp. 7-18
• Koldunov, A. V.: Особенности строения $o$-пополнения архимедовой $\ell$-группы с сильной единицей. (Russian) [Singularities of a construction of the $o$-completion of an Archimedean $\ell$-group with strong unit]. Czechoslovak Mathematical Journal, vol. 37 (1987), issue 1, pp. 1-6
• Jasem, Milan: Isometries in Riesz groups. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 1, pp. 35-43
• Černáková, Božena: On partially ordered groups of locally finite length. (English). Mathematica Slovaca, vol. 36 (1986), issue 2, pp. 119-127
• Jakubík, Ján: On radical classes of Abelian linearly ordered groups. (English). Mathematica Slovaca, vol. 35 (1985), issue 2, pp. 141-154
• Gardner, Barry J.: Some aspects of radical theory for fully ordered Abelian groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 4, pp. 821-837
• Močkoř, Jiří: The group of divisibility of $\hat{\bold Z}$. (English). Archivum Mathematicum, vol. 20 (1984), issue 1, pp. 31-38
• Rachůnek, Jiří: Isometries in ordered groups. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 2, pp. 334-341
• Pringerová, Gabriela: Covering condition in the lattice of radical classes of linearly ordered groups. (English). Mathematica Slovaca, vol. 33 (1983), issue 4, pp. 363-369
• Jakubík, Ján; Kolibiar, Milan: Isometries of multilattice groups. (English). Czechoslovak Mathematical Journal, vol. 33 (1983), issue 4, pp. 602-612
• Pringerová, Gabriela: On semisimple classes of Abelian linearly ordered groups. (English). Časopis pro pěstování matematiky, vol. 108 (1983), issue 1, pp. 40-52
• Šik, František: Regulators of type $\alpha$ of lattice ordered groups. (English). Mathematica Slovaca, vol. 32 (1982), issue 3, pp. 209-227
• Riečan, Beloslav: A simplified proof of the Daniell integral extension theorem in ordered spaces. (English). Mathematica Slovaca, vol. 32 (1982), issue 1, pp. 75-79
• Šik, František: Topology on regulators of lattice ordered groups. II: Completely regular regulators. (English). Mathematica Slovaca, vol. 32 (1982), issue 1, pp. 35-48
• Močkoř, Jiří: On $o$-ideals of groups of divisibility. (English). Czechoslovak Mathematical Journal, vol. 31 (1981), issue 3, pp. 390-403
• Jakubík, Ján: Weak isomorphisms of abelian lattice ordered groups. (English). Czechoslovak Mathematical Journal, vol. 30 (1980), issue 3, pp. 438-444
• Močkoř, Jiří: A note on approximation theorems. (English). Archivum Mathematicum, vol. 15 (1979), issue 2, pp. 107-117
• Jakubíková, Mária: On complete lattice ordered groups with two generators. II. (English). Mathematica Slovaca, vol. 29 (1979), issue 3, pp. 271-287
• Černák, Štefan: On the maximal Dedekind completion of a lattice ordered group. (English). Mathematica Slovaca, vol. 29 (1979), issue 3, pp. 305-313
• Jakubík, Ján: Maximal Dedekind completion of an abelian lattice-ordered group. (English). Czechoslovak Mathematical Journal, vol. 28 (1978), issue 4, pp. 611-631
• Jakubíková, Mária: On complete lattice ordered groups with two generators. I. (English). Mathematica Slovaca, vol. 28 (1978), issue 4, pp. 389-406
• Černák, Štefan: On some types of maximal $l$-subgroups of a lattice ordered group. (English). Mathematica Slovaca, vol. 28 (1978), issue 4, pp. 349-359
• Wilhelm, M.: Completeness and continuity of lattice-seminorms. (English). In: Frolík, Z. (ed.): Abstracta. 5th Winter School on Abstract Analysis. Czechoslovak Academy of Sciences, Praha, 1977. pp. 115-117
• Šipoš, Ján: Integrals on lattice-ordered groups. (English). Mathematica Slovaca, vol. 27 (1977), issue 4, pp. 431-439
• Černák, Štefan: Cantor extension of a mixed product of directed groups. (English). Mathematica Slovaca, vol. 26 (1976), issue 2, pp. 103-114
• Močkoř, J.: Topological groups of divisibility. (English). In: Novák, Josef (ed.): General topology and its relations to modern analysis and algebra IV, Proceedings of the fourth Prague topological symposium, 1976. Part B: Contributed Papers. Society of Czechoslovak Mathematicians and Physicist, Praha, 1977. pp. 291-295
• Jakubíková, Mária: Distributivität des $l$-Untergruppenverbandes einer Verbandsgruppe. (German). Matematický časopis, vol. 25 (1975), issue 2, pp. 189-192
• Jakubíková, Mária: The nonexistence of free complete vector lattices. (English). Časopis pro pěstování matematiky, vol. 99 (1974), issue 2, pp. 142-146
• Jakubíková, Mária: Abgeschlossene vollständige $l$-Untergruppen der Verbandsgruppen. (German). Matematický časopis, vol. 23 (1973), issue 1, pp. 55-63
• Černák, Štefan: The Cantor Extension of a Lexicographic Product of $l$-Groups. (English). Matematický časopis, vol. 23 (1973), issue 2, pp. 97-102
• Jakubíková, Mária: Über die $B$-Potenz einer teilweise geordneten Gruppe. (German). Matematický časopis, vol. 23 (1973), issue 3, pp. 231-239