Title:
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Sixty years of Professor Vlastimil Dlab (English) |
Author:
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Procházka, Ladislav |
Language:
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English |
Journal:
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Czechoslovak Mathematical Journal |
ISSN:
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0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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43 |
Issue:
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1 |
Year:
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1993 |
Pages:
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187-192 |
. |
Category:
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editorial |
. |
MSC:
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01A65 |
MSC:
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01A70 |
idZBL:
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Zbl 0785.01025 |
idMR:
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MR1205241 |
DOI:
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10.21136/CMJ.1993.128376 |
. |
Date available:
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2009-09-24T09:28:44Z |
Last updated:
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2020-07-29 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/128376 |
. |
Reference:
|
[1] : $D$-Rang einer abelschen Gruppe.Časopis Pěst. Mat. 82 (1957), 314–334, MR 19#1158. (Czech) Zbl 0101.26403, MR 0092785 |
Reference:
|
[2] : Die Endomorphismenringe abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe.Czechoslovak Math. J. 7/82 (1957), 485–523, MR 20#901. Zbl 0093.02902, MR 0094383 |
Reference:
|
[3] : A note on the theory of divisible abelian groups.Czechoslovak Math. J. 8/83 (1958), 54–61, MR 20#1707. (Russian) Zbl 0082.02603, MR 0095201 |
Reference:
|
[4] : Some relations among the generating systems of abelian groups.Czechoslovak Math. J. 9/84 (1959), 161–171, MR 22#67. (Russian) MR 0109179 |
Reference:
|
[5] : On a problem of Mazur and Ulam about irreducible generating systems in groups.Colloq. Math. 7 (1960), 171–176, MR 22#2640. Zbl 0104.02502, MR 0111779, 10.4064/cm-7-2-171-176 |
Reference:
|
[6] : A note on a problem concerning the Frattini subgroups.Časopis Pěst. Mat. 85 (1960), 87–90, MR 22#5675. (Czech) MR 0114857 |
Reference:
|
[7] : The Frattini subgroups of abelian groups.Czechoslovak Math. J. 10/85 (1960), 1–16, MR 22#5676. Zbl 0093.02801, MR 0114858 |
Reference:
|
[8] : On cyclic groups.Czechoslovak Math. J. 10/85 (1960), 244–254, MR 22#8054. Zbl 0166.28603, MR 0117272 |
Reference:
|
[9] : The Frattini subgroup of a direct product of groups (with V. Kořínek).Czechoslovak Math. J. 10/85 (1960), 350–358, MR 23#A217. MR 0122885 |
Reference:
|
[10] : On a characterization of primary abelian groups of bounded order.J. London Math. Soc. 36 (1961), 139–144, MR 23#A929. Zbl 0104.02601, MR 0123604 |
Reference:
|
[11] : A note on pseudocongruent matrices.Czechoslovak Math. J. 12/87 (1962), 104–109, MR 25#5076. Zbl 0105.26203, MR 0141679 |
Reference:
|
[12] : On the dependence relation over abelian groups.Publ. Math. Debrecen 9 (1962), 75–80, MR 26#5056. MR 0147541 |
Reference:
|
[13] : General algebraic dependence relations.Publ. Math. Debrecen 9 (1962), 324–355, MR 27#81. Zbl 0119.01602, MR 0150078 |
Reference:
|
[14] : A generalization of dependence relations.Proceedings of the Colloq. on abelian groups, Tihany, 1963, 49–50, MR 29#5770. MR 0168508 |
Reference:
|
[15] : A note on powers of a group.Acta Sci. Math (Szeged) 25 (1964), 177–178, MR 30#1184. Zbl 0136.37902, MR 0170950 |
Reference:
|
[16] : The role of the “finite character property” in the theory of dependence.Comment. Math. Univ. Carolinae 6 (1965), 97–104, MR 30#4706. Zbl 0163.01305, MR 0174505 |
Reference:
|
[17] : Axiomatic treatment of bases in arbitrary sets.Czechoslovak Math. J. 15/90 (1965), 554–564, MR 32#4060. Zbl 0163.01304, MR 0186601 |
Reference:
|
[18] : General algebraic dependence structures and some applications.Colloq. Math. 14 (1966), 265–273, MR 32#1146. Zbl 0136.26302, MR 0183666, 10.4064/cm-14-1-265-273 |
Reference:
|
[19] : Dependence over modules.Czechoslovak Math. J. 16/91 (1966), 137–157, MR 32#7602. Zbl 0139.26101, MR 0190188 |
Reference:
|
[20] : Algebraic dependence sctructures.Z. Math. Logik Grundlagen Math. 12 (1966), 345–377, MR 35#5377. MR 0214527, 10.1002/malq.19660120130 |
Reference:
|
[21] : The concept of rank and some related questions in the theory of modules.Comment. Math. Univ. Carolinae 8 (1967), 39–47, MR 35#1627. Zbl 0154.03002, MR 0210741 |
Reference:
|
[22] : A remark to a paper of Gh. Pic.Czechoslovak Math. J. 17/92 (1967), 467–468, MR 36#6483. Zbl 0189.31201, MR 0223435 |
Reference:
|
[23] : On a family of simple ordered groups.J. Austral. Math. Soc. 8 (1968), 591–608, MR 37#3978. Zbl 0165.34502, MR 0228397, 10.1017/S1446788700006261 |
Reference:
|
[24] : The structure of torsion-free rings.Comment. Math. Univ. Carolinae 9 (1968), 41–46, MR 38#189. Zbl 0169.05002, MR 0231861 |
Reference:
|
[25] : Distinguished submodules.J. Austral. Math. Soc. 8 (1968), 661-670, MR 37#4109. Zbl 0169.05101, MR 0237559 |
Reference:
|
[26] : The concept of a torsion module.Amer. Math. Monthly 75 (1968), 973–976, MR 39#5621. Zbl 0182.36802, MR 0244306, 10.2307/2315534 |
Reference:
|
[27] : Distinguished sets of ideals of a ring.Czechoslovak Math. J. 18/93 (1968), 560–567, MR 38#5840. Zbl 0164.34801, MR 0228529 |
Reference:
|
[28] : Rank theory of modules.Fund. Math. 64 (1969), 313–324, MR 40#178. Zbl 0192.38001, MR 0246909, 10.4064/fm-64-3-313-324 |
Reference:
|
[29] : Matrix representation of torsion-free rings.Czechoslovak Math. J. 19/94 (1969), 284–298, MR 39#6918. Zbl 0182.36902, MR 0245612 |
Reference:
|
[30] : Universal algebra representation of regular $GA$-dependence structures.Bull. Acad. Polon. Sci. 17 (1969), 203–206, MR 41#132. Zbl 0181.31502, MR 0255470 |
Reference:
|
[31] : Semigroups with few endomorphisms (with B. H. Neumann).J. Austral. Math. Soc 10 (1969), 162–168, MR 39#7012. MR 0245706 |
Reference:
|
[32] : Lattice representation of general algebraic dependence.Math. Systems Theory 4 (1969), 289–299, MR 40#5521. Zbl 0199.32401, MR 0252300 |
Reference:
|
[33] : Remarks on V. P. Elizarov’s article “Two properties of associative rings”.Math. Zametki 6 (1969), 541–544, MR 41#1882. (Russian) Zbl 0195.32503, MR 0257231 |
Reference:
|
[34] : Structure of perfect rings.Bull. Austral. Math. Soc. 2 (1970), 117–124, MR 41#3523. Zbl 0179.06004, MR 0258878, 10.1017/S0004972700041666 |
Reference:
|
[35] : A characterization of perfect rings.Pacific J. Math. 33 (1970), 79–88, MR 41#6907. Zbl 0209.07201, MR 0262297, 10.2140/pjm.1970.33.79 |
Reference:
|
[36] : A class of perfect rings.Can. J. Math. 22 (1970), 822–826, MR 41#8464. Zbl 0209.07202, MR 0263865, 10.4153/CJM-1970-092-1 |
Reference:
|
[37] : Lattice formulation of general algebraic dependence.Czechoslovak Math. J. 20/95 (1970), MR 42#2992. Zbl 0247.06006, MR 0268093 |
Reference:
|
[38] : Matrix rings as injective hulls of torsion-free tidy rings.Math. Čas. Sloven. Akad. Vied 21 (1971), 7, Carleton Math. Series No. 64; MR 51#3221. |
Reference:
|
[39] : Tree-like matrix rings.Fund. Math. 72 (1971), 155–163, MR 64#1838. Zbl 0221.16016, MR 0302694, 10.4064/fm-72-2-155-163 |
Reference:
|
[40] : Anneaux balances (with C. M. Ringel).C. R. Acad. Sc. Paris 272 (1971), 1555–1558, MR 42#1695. MR 0284469 |
Reference:
|
[41] : A class of balanced non-uniserial rings (with C. M. Ringel).Mat. Ann. 195 (1972), 279–297, MR 49#7319. MR 0342573 |
Reference:
|
[42] : Rank of a module.Proceedings of Can. Math. Congress Meeting (1971), 55–76, MR 52#3240. Zbl 0362.16014, MR 0382355 |
Reference:
|
[43] : Balanced rings (with C. M. Ringel).Lectures Notes in Math. No. 246, Springer-Verlag, 1972, pp. 73–143, MR 49#5099. MR 0340344 |
Reference:
|
[44] : Rings with the double centralizer property (with C. M. Ringel).J. of Algebra 22 (1972), 480–501, MR 46#5384. MR 0306258 |
Reference:
|
[45] : Balanced local rings with commutative residue field (with C. M. Ringel).Bull. Amer. Math. Soc 195 (1972), 279–391, MR 50#9964. MR 0357496 |
Reference:
|
[46] : The structure of balanced rings (with C. M. Ringel).Proc. London Math. Soc. 26 (1973), 446–462, MR 47#3447. MR 0314898 |
Reference:
|
[47] : Exceptional rings (with C. M. Ringel).Proceedings of Ring Theory Conference, Keszthely, Hungary, 1971, pp. 167–171, MR 51#12927. MR 0376752 |
Reference:
|
[48] : Decomposition of modules over ring uniserial rings (with C. M. Ringel).Math. Z. 192 (1972), 207–230, MR 47#6774. |
Reference:
|
[49] : Représentations indecomposables des algébres (with C. M. Ringel).C. R. Acad. Sc. Paris 276 (1973), 1393–1396, MR 47#5054. |
Reference:
|
[50] : Sur la conjecture de Brauer-Thrall (with C. M. Ringel).C. R. Acad. Sc. Paris 276 (1973), 1441–1442, MR 48#338. MR 0321973 |
Reference:
|
[51] : A construction of rings whose injective hulls allow a ring structure (with C. M. Ringel).J. of Austral. Soc. 16 (1973), 7–13, MR 48#6171. MR 0327829, 10.1017/S1446788700013860 |
Reference:
|
[52] : Représentations des graphes valués (with C. M. Ringel).C. R. Acad. Sc. Paris 278 (1974), 537–540, MR 50#9973. MR 0357505 |
Reference:
|
[53] : On algebras of finite representation type (with C. M. Ringel).J. Algebra 33 (1975), 306–394, MR 50#9974. MR 0357506 |
Reference:
|
[54] : Coxeter functors and representation theory.Sém. Alg. Univ. Paris (1974), 1707–1722, MR 53#537. MR 0396675 |
Reference:
|
[55] : Filtered vector spaces.Séminaire P. Dubreil, Paris (1974/75), 501–506, MR 53#8150. |
Reference:
|
[56] : Idemcomposable representations of graphs and algebras (with C. M. Ringel).Memoirs Amer. Math. Soc. Providence 173 (1976), MR 52#8193 and MR 56#5657. |
Reference:
|
[57] : Normal forms of real matrices with respect to complex similarity (with C. M. Ringel).Linear Algebra and Appl. 17 (1977), 107–124, MR 57#12552. MR 0472864, 10.1016/0024-3795(77)90031-3 |
Reference:
|
[58] : The representations of tame hereditary algebras (with C. M. Ringel).Repr. theory of Algebras, Proc. of Philadelphia Conf. 1976, MR 58#11021, Marcel Dekker, 1978, pp. 329–353. MR 0491824 |
Reference:
|
[59] : Real subspaces of a quaternion vector space (with C. M. Ringel).Can. J. Math. 30 (1978), 1228–1242, MR 80a:15033. MR 0511559 |
Reference:
|
[60] : On classification of torsion-free abelian groups of finite rank.Symposia Math. Ist. Nat. Alta Mat., Rome 23 (1979), 181–188, MR 81g:20102. Zbl 0427.20046, MR 0565605 |
Reference:
|
[61] : A module thoeretical interpretation of properties of the root systems (with C. M. Ringel).Ring Theory, Proc. of Antwerp Conf. 1978, Marcel Dekker 51 (1979), 435–451, MR 82d:16025. MR 0563306 |
Reference:
|
[62] : The preprojective algebra of a modulated graph (with C. M. Ringel).Repr. Theory of Algebras, MR 83c:16022, Proc. of Ottawa Conf., 1979, pp. 801–816. |
Reference:
|
[63] : A remark on normal forms of matrices (with C. M. Ringel).Linear Algebra and Appl. 30 (1980), 109–114, MR 82f:15007. MR 0568783, 10.1016/0024-3795(80)90186-X |
Reference:
|
[64] : Structure des treillis lineaires libres, Séminaire d’Algébre P. Dubreil et M.-P. Malliavin, Paris 1979.Springer Lecture Notes 795, 10–34, MR 81m:06019. |
Reference:
|
[65] : Perfect elements in the free modular lattices (with C. M. Ringel).Math. Ann. 247 (1980), 95–100, MR 82k:06009. MR 0568199 |
Reference:
|
[66] : Eigenvalue of Coxeter transformatins and the Gelfand-Kirillov dimension of the preprojective algebras (with C. M. Ringel).Proc. Amer. Math. Soc. 83 (1981), 228–232, MR 83c:15007. MR 0624903 |
Reference:
|
[67] : The regular representations of the tame hereditary algebras, Sémianire d’Algébre P. Dubreil et Marie-Paule Malliavin, Paris 1982.Springer Lecture Notes 1029, 120–133, MR 85j:16040. MR 0732473 |
Reference:
|
[68] : A class of bounded hereditary noetherian domains (with C. M. Ringel).J. Algebra 92 (1985), 311-321, MR 86h:16021. MR 0778451 |
Reference:
|
[69] : On modular representations of $A_4$ (with C. M. Ringel).J. of Algebra 123 (1989), 506–522. |
Reference:
|
[70] : Quasi-hereditary algebras (with C. M. Ringel).Illinois J. Math. 33 (1989), 280–291. MR 0987824 |
Reference:
|
[71] : A construction for quasi-hereditary algebras (with C. M. Ringel).Comp. Math. 70 (1989), 155–175. MR 0996325 |
Reference:
|
[72] : Auslander algebras as quasi-hereditary algebras (with C. M. Ringel).J. London Math. Soc. 39 (1989), 457–466. MR 1002457 |
Reference:
|
[73] : Every semiprimary ring is the endomorphism ring of a projective module over a quasi-hereditary ring (with C. M. Ringel).Proc. Amer. Math. Soc. 107 (1989), 1–5, MR 89m:16033. MR 0943793 |
Reference:
|
[74] : The dimension of a quasi-hereditary algebra (with C. M. Ringel).Banach Centre publ., Warsaw 26 (1990), 263–271. MR 1171236 |
Reference:
|
[75] : The hereditary measure of an algebra.Bull. Austral. Math. Soc. 40 (1989), 189–197. MR 1012827, 10.1017/S0004972700004299 |
Reference:
|
[76] : Filtrations of right ideals related to projectivity of left ideals (with C. M. Ringel).Séminaire d’Algébre, Paris 1989, Springer Lecture Notes 1404, pp. 95–107. MR 1035221 |
Reference:
|
[77] : The index of a tower of semi-simple algebras (with C. M. Ringel).C. R. Math. Rep. Acad. Sci. Canada 12 (1990), 171–175. MR 1077484 |
Reference:
|
[78] : The Hochschild cocycle of a long exact sequence (with C. M. Ringel).Tsukuba J. Math. 14 (1990), 489–496. MR 1085213 |
Reference:
|
[79] : Canonical forms of pairs of complex matrices (with C. M. Ringel).Linear Algebra and Appl. 147 (1991), 387–410. MR 1088670 |
Reference:
|
[80] : Neat algebras (with I. Ágoston and T. Wakamatsu).Comm. in Algebra 19 (1991), 433–442. 10.1080/00927879108824147 |
Reference:
|
[81] : Towers of semi-simple algebras (with C. M. Ringel).Funct. Analysis 102 (1991), 35–46. MR 1138836, 10.1016/0022-1236(91)90134-Q |
Reference:
|
[82] : Pairs of semi-simple algebras.Representation of Algebras, London Math. Soc. Series 168, Cambridge Univ. Press, 1992, pp. 185–199. Zbl 0766.16008 |
Reference:
|
[83] : The module theoretical approach to quasi-hereditary algebras (with C. M. Ringel).Representation of Algebras, London Math. Soc. Notes Series 168, Cambridge Univ. Press, 1992, pp. 200–224. MR 1211481 |
Reference:
|
[1] : Representations of valued graphs.ISBN 2-7606-0503; MR 82k:16037, Les Presses de l’Université de Montréal, 1980, pp. 199. Zbl 0478.16026, MR 0586769 |
Reference:
|
[2] : An introduction to diagrammatical methods in representation theory.MR 83d:16030, Universität Essen Lecture Notes, 1981, pp. 203. Zbl 0475.16013, MR 0644142 |
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