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08A60 Unary algebras (91 articles)

• Jakubíková-Studenovská, Danica; Pöschel, Reinhard; Radeleczki, Sándor: The minimal closed monoids for the Galois connection ${\rm End}$-${\rm Con}$. (English). Mathematica Bohemica, vol. 149 (2024), issue 3, pp. 295-303
• Halušková, Emília: Some monounary algebras with EKP. (English). Mathematica Bohemica, vol. 145 (2020), issue 4, pp. 401-414
• Halušková, Emília: Strong endomorphism kernel property for monounary algebras. (English). Mathematica Bohemica, vol. 143 (2018), issue 2, pp. 161-171
• Seif, Steve: Congruence lattices of intransitive G-Sets and flat M-Sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 4, pp. 459-484
• Kopeček, Oldřich: Equation $f(p(x)) = q(f(x))$ for given real functions $p$, $q$. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 4, pp. 1011-1032
• Jakubíková-Studenovská, Danica; Pócs, Jozef: Cardinality of retracts of monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 2, pp. 469-479
• Jakubíková-Studenovská, Danica: On ideal extensions of partial monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 2, pp. 331-344
• Ježek, J.; Marković, P.; Stanovský, D.: Homomorphic images of finite subdirectly irreducible unary algebras. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 2, pp. 671-677
• Halušková, Emília: On direct limit classes of algebras. (English). Mathematica Slovaca, vol. 57 (2007), issue 3, pp. [211]-218
• Ćirić, M.; Petković, T.; Bogdanović, S.: Subdirect products of certain varieties of unary algebras. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 2, pp. 573-578
• Jakubíková-Studenovská, Danica; Pócs, Jozef: Test elements and the Retract Theorem for monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 3, pp. 975-986
• Novotný, Miroslav: On some constructions of algebraic objects. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 389-402
• Pióro, Konrad: On some unary algebras and their subalgebra lattices. (English). Mathematica Slovaca, vol. 56 (2006), issue 3, pp. 255-273
• Jakubíková-Studenovská, Danica: Retracts of monounary algebras corresponding to groupoids. (English). Mathematica Slovaca, vol. 56 (2006), issue 1, pp. 105-112
• Jakubíková-Studenovská, Danica: Subalgebra extensions of partial monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 3, pp. 845-855
• Čipková, Karla; Jakubíková-Studenovská, Danica: Graph homomorphisms of partial monounary algebras. (English). Mathematica Slovaca, vol. 55 (2005), issue 2, pp. 155-167
• Jakubíková-Studenovská, Danica: On a representation of monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 157-164
• Jakubíková-Studenovská, Danica: Representation of connected monounary algebras by means of irreducibles. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 4, pp. 1067-1078
• Zelinka, Bohdan: Algebraic approach to locally finite trees with one end. (English). Mathematica Bohemica, vol. 128 (2003), issue 1, pp. 37-44
• Jakubíková-Studenovská, Danica: On 2-homogeneity of monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 1, pp. 55-68
• Jakubíková-Studenovská, Danica: On a cancellation law for monounary algebras. (English). Mathematica Bohemica, vol. 128 (2003), issue 1, pp. 77-90
• Jakubíková-Studenovská, Danica: Partially-2-homogeneous monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 655-668
• Jakubíková-Studenovská, Danica: Homogeneous monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 309-317
• Novotný, Miroslav: Homomorphisms of algebras. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 345-364
• Chajda, Ivan; Länger, Helmut: A note on normal varieties of monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 369-373
• Halušková, Emília: Two element direct limit classes of monounary algebras. (English). Mathematica Slovaca, vol. 52 (2002), issue 2, pp. 177-194
• Pióro, Konrad: On subalgebra lattices of a finite unary algebra. I. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 161-170
• Pióro, Konrad: On subalgebra lattices of a finite unary algebra. II. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 171-181
• Madarász, Rozália Sz.; Mašulović, Dragan; Tasić, Boža: Strong retracts of unary algebras. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 205-212
• Pióro, Konrad: The weak subalgebra lattice of a unary partial algebra of a given infinite unary type. (English). Mathematica Slovaca, vol. 51 (2001), issue 1, pp. 25-44
• Jakubíková-Studenovská, Danica: DR-irreducibility of connected monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 4, pp. 705-720
• Jakubíková-Studenovská, Danica: DR-irreducibility of connected monounary algebras with a cycle. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 4, pp. 681-698
• Halušková, Emília: Monounary algebras with two direct limits. (English). Mathematica Bohemica, vol. 125 (2000), issue 4, pp. 485-495
• Pióro, Konrad: On some non-obvious connections between graphs and unary partial algebras. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 2, pp. 295-320
• Halušková, Emília: Direct limits of monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 3, pp. 645-656
• Jakubíková-Studenovská, Danica: Retract irreducibility of monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 2, pp. 363-390
• Jakubíková-Studenovská, Danica: Antiatomic retract varieties of monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 793-808
• Novotný, Miroslav: Homomorphisms and strong homomorphisms of relational structures. (English). Archivum Mathematicum, vol. 33 (1997), issue 1, pp. 57-64
• Vernikov, B. M.: On congruences of $G$-sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 603-613
• Jakubíková-Studenovská, Danica: Retract irreducibility of connected monounary algebras. II. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 1, pp. 113-126
• Jakubíková-Studenovská, Danica: Retract varieties of monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 4, pp. 701-716
• Zelinka, Bohdan: Atomary tolerances on finite algebras. (English). Mathematica Bohemica, vol. 121 (1996), issue 1, pp. 35-39
• Ježek, Jaroslav; Kepka, Tomáš: Bijective reflexions and coreflexions of commutative unars. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 37 (1996), issue 1, pp. 31-40
• Novotný, Miroslav: Construction of all homomorphisms of groupoids. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 1, pp. 141-153
• Novotný, Miroslav: Construction of all homomorphisms of mono-$n$-ary algebras. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 2, pp. 331-333
• Jakubíková-Studenovská, Danica: Retract irreducibility of connected monounary algebras. I. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 2, pp. 291-308
• Jakubíková-Studenovská, Danica: Two types of retract irreducibility of connected monounary algebras. (English). Mathematica Bohemica, vol. 121 (1996), issue 2, pp. 143-150
• Jakubíková-Studenovská, D.: Convex automorphisms of partial monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 3, pp. 393-412
• Zelina, Miron: On one problem in the theory of partial monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 2, pp. 337-346
• Abrhan, Imrich; Satko, Ladislav: $r$-systems of unary algebras. I: On maximal and greatest $J$-classes of the direct product of unary algebras. (English). Mathematica Slovaca, vol. 44 (1994), issue 1, pp. 55-68
• Abrhan, Imrich; Satko, Ladislav: $r$-systems of unary algebras. II: Maximal and minimal subalgebras of the direct products of unary algebras. (English). Mathematica Slovaca, vol. 44 (1994), issue 1, pp. 69-83
• Jakubíková-Studenovská, Danica: On directed convex subsets of partial monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 4, pp. 675-693
• Halušková, Emília; Studenovská, Danica: Partial monounary algebras with common closed quasi-endomorphisms. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 2, pp. 225-240
• Halušková, Emília; Studenovská, Danica: Partial monounary algebras with common quasi-endomorphisms. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 1, pp. 59-72
• Chajda, Ivan: Varieties with modular and distributive lattices of symmetric or reflexive relations. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 4, pp. 623-630
• Novotný, Miroslav: Construction of all strong homomorphisms of binary structures. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 2, pp. 300-311
• Jakubíková-Studenovská, Danica: Intervals in partial monounary algebras. (English). Mathematica Bohemica, vol. 116 (1991), issue 3, pp. 268-275
• Novotný, Miroslav: Mono-unary algebras in the work of Czechoslovak mathematicians. (English). Archivum Mathematicum, vol. 26 (1990), issue 2, pp. 155-164
• Novotný, Jiří: On the characterization of a certain class of monounary algebras. (English). Mathematica Slovaca, vol. 40 (1990), issue 2, pp. 123-128
• Bartol, Wiktor: Weak subalgebra lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 3, pp. 405-410
• Bartol, Wiktor: Weak subalgebra lattices of monounary partial algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 3, pp. 411-414
• Jakubíková-Studenovská, Danica: On the lattice of convex subsets of a partial monounary algebra. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 3, pp. 492-512
• Jakubíková-Studenovská, Danica: Convex subsets of partial monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 4, pp. 655-672
• Novotný, Jiří: Morphisms of a certain class of monounary algebras. (English). Mathematica Slovaca, vol. 38 (1988), issue 3, pp. 235-242
• Jakubíková-Studenovská, Danica: On completions of partial monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 2, pp. 256-268
• Zelinka, Bohdan: Tolerances of polyunary algebras. (English). Archivum Mathematicum, vol. 24 (1988), issue 1, pp. 1-4
• Novotný, Jiří: Cardinal arithmetic of a certain class of monounary algebras. (English). Časopis pro pěstování matematiky, vol. 111 (1986), issue 4, pp. 384-393
• Jakubíková-Studenovská, Danica: Endomorphisms of partial monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 3, pp. 376-392
• Jakubíková-Studenovská, Danica: Endomorphisms and connected components of partial monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 35 (1985), issue 3, pp. 467,468-490
• Drápal, Aleš: Globals of unary algebras. (English). Czechoslovak Mathematical Journal, vol. 35 (1985), issue 1, pp. 52-58
• Chvalina, Jan; Matoušková, Květoslava: Coregularity of endomorphism monoids of unars. (English). Archivum Mathematicum, vol. 20 (1984), issue 1, pp. 43-48
• Novotný, Miroslav: On a relationship between monoids and monounary algebras. (English). Časopis pro pěstování matematiky, vol. 109 (1984), issue 3, pp. 277-285
• Zelinka, Bohdan: Tolerances on monounary algebras. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 2, pp. 298-304
• Jakubíková-Studenovská, Danica: On congruence relations of monounary algebras. II. (English). Czechoslovak Mathematical Journal, vol. 33 (1983), issue 3, pp. 448-466
• Jakubíková-Studenovská, Danica: On congruence relations of monounary algebras. I. (English). Czechoslovak Mathematical Journal, vol. 32 (1982), issue 3, pp. 437-459
• Jakubíková-Studenovská, Danica: Partial monounary algebras with common congruence relations. (English). Czechoslovak Mathematical Journal, vol. 32 (1982), issue 2, pp. 307-326
• Chvalina, Jan: Note on compatible binary relations on algebras. (English). Archivum Mathematicum, vol. 17 (1981), issue 4, pp. 185-190
• Jakubíková-Studenovská, Danica: On congruence lattices of finite partial unary algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 2, pp. 357-364
• Chvalina, Jan: On connected unars with regular endomorphism monoids. (English). Archivum Mathematicum, vol. 16 (1980), issue 1, pp. 7-13
• Jakubíková-Studenovská, Danica: On weakly rigid monounary algebras. (English). Mathematica Slovaca, vol. 30 (1980), issue 2, pp. 197-206
• Šulka, Robert: Remark on partially ordered sets, universal algebras and semigroups. (English). Mathematica Slovaca, vol. 29 (1979), issue 2, pp. 131-139
• Jakubíková, Danica: Systems of unary algebras with common endomorphisms. I. (English). Czechoslovak Mathematical Journal, vol. 29 (1979), issue 3, pp. 406-420
• Jakubíková, Danica: Systems of unary algebras with common endomorphisms. II. (English). Czechoslovak Mathematical Journal, vol. 29 (1979), issue 3, pp. 421-429
• Chvalina, Jan: Characterizations of certain monounary algebras. I. (English). Archivum Mathematicum, vol. 14 (1978), issue 2, pp. 85-97
• Chvalina, Jan: Characterizations of certain monounary algebras. II. (English). Archivum Mathematicum, vol. 14 (1978), issue 3, pp. 145-153
• Kopeček, Oldřich: Homomorphisms of machines. I. (English). Archivum Mathematicum, vol. 14 (1978), issue 1, pp. 45-50
• Kopeček, Oldřich: Homomorphisms of machines. II. (English). Archivum Mathematicum, vol. 14 (1978), issue 2, pp. 99-108
• Pálfy, Péter Pál: On certain congruence lattices of finite unary algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 1, pp. 89-95
• Kopeček, Oldřich: Representation of ordered classes by classes of connected unary algebras. (English). Archivum Mathematicum, vol. 14 (1978), issue 4, pp. 201-205
• Abrhan, Imrich: О $\cal I$-подалгебрах в унарных алгебрах, о простых идеалах и $\cal I$-идеалах в группоидах и полугруппах. (Russian) [$\cal I$-subalgebras in unary algebras, prime ideals and ${\cal I}$-ideals in groupoids and in semigroups]. Mathematica Slovaca, vol. 28 (1978), issue 1, pp. 61-80
• Gavalec, Martin; Jakubíková, Danica: О ширине категории моноунарных алгебр. (Russian) [On the width of the category of mono-unary algebras]. Mathematica Slovaca, vol. 28 (1978), issue 3, pp. 263-276