Sixty years of Professor Vlastimil Dlab

Procházka, Ladislav

Czechoslovak Mathematical Journal, Tome 43 (1993) no. 1, pp. 187-192

Détail

DOI : 10.21136/CMJ.1993.128376

Classification : 01A65, 01A70

Bibliographie

[1] $D$-Rang einer abelschen Gruppe. Časopis Pěst. Mat. 82 (1957), 314–334, MR 19#1158. (Czech) | MR | Zbl

[2] Die Endomorphismenringe abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe. Czechoslovak Math. J. 7/82 (1957), 485–523, MR 20#901. | MR | Zbl

[3] A note on the theory of divisible abelian groups. Czechoslovak Math. J. 8/83 (1958), 54–61, MR 20#1707. (Russian) | MR | Zbl

[4] Some relations among the generating systems of abelian groups. Czechoslovak Math. J. 9/84 (1959), 161–171, MR 22#67. (Russian) | MR

[5] On a problem of Mazur and Ulam about irreducible generating systems in groups. Colloq. Math. 7 (1960), 171–176, MR 22#2640. | DOI | MR | Zbl

[6] A note on a problem concerning the Frattini subgroups. Časopis Pěst. Mat. 85 (1960), 87–90, MR 22#5675. (Czech) | MR

[7] The Frattini subgroups of abelian groups. Czechoslovak Math. J. 10/85 (1960), 1–16, MR 22#5676. | MR | Zbl

[8] On cyclic groups. Czechoslovak Math. J. 10/85 (1960), 244–254, MR 22#8054. | MR | Zbl

[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

[10] On a characterization of primary abelian groups of bounded order. J. London Math. Soc. 36 (1961), 139–144, MR 23#A929. | MR | Zbl

[11] A note on pseudocongruent matrices. Czechoslovak Math. J. 12/87 (1962), 104–109, MR 25#5076. | MR | Zbl

[12] On the dependence relation over abelian groups. Publ. Math. Debrecen 9 (1962), 75–80, MR 26#5056. | MR

[13] General algebraic dependence relations. Publ. Math. Debrecen 9 (1962), 324–355, MR 27#81. | MR | Zbl

[14] A generalization of dependence relations. Proceedings of the Colloq. on abelian groups, Tihany, 1963, 49–50, MR 29#5770. | MR

[15] A note on powers of a group. Acta Sci. Math (Szeged) 25 (1964), 177–178, MR 30#1184. | MR | Zbl

[16] The role of the “finite character property” in the theory of dependence. Comment. Math. Univ. Carolinae 6 (1965), 97–104, MR 30#4706. | MR | Zbl

[17] Axiomatic treatment of bases in arbitrary sets. Czechoslovak Math. J. 15/90 (1965), 554–564, MR 32#4060. | MR | Zbl

[18] General algebraic dependence structures and some applications. Colloq. Math. 14 (1966), 265–273, MR 32#1146. | DOI | MR | Zbl

[19] Dependence over modules. Czechoslovak Math. J. 16/91 (1966), 137–157, MR 32#7602. | MR | Zbl

[20] Algebraic dependence sctructures. Z. Math. Logik Grundlagen Math. 12 (1966), 345–377, MR 35#5377. | DOI | MR

[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. | MR | Zbl

[22] A remark to a paper of Gh. Pic. Czechoslovak Math. J. 17/92 (1967), 467–468, MR 36#6483. | MR | Zbl

[23] On a family of simple ordered groups. J. Austral. Math. Soc. 8 (1968), 591–608, MR 37#3978. | DOI | MR | Zbl

[24] The structure of torsion-free rings. Comment. Math. Univ. Carolinae 9 (1968), 41–46, MR 38#189. | MR | Zbl

[25] Distinguished submodules. J. Austral. Math. Soc. 8 (1968), 661-670, MR 37#4109. | MR | Zbl

[26] The concept of a torsion module. Amer. Math. Monthly 75 (1968), 973–976, MR 39#5621. | DOI | MR | Zbl

[27] Distinguished sets of ideals of a ring. Czechoslovak Math. J. 18/93 (1968), 560–567, MR 38#5840. | MR | Zbl

[28] Rank theory of modules. Fund. Math. 64 (1969), 313–324, MR 40#178. | DOI | MR | Zbl

[29] Matrix representation of torsion-free rings. Czechoslovak Math. J. 19/94 (1969), 284–298, MR 39#6918. | MR | Zbl

[30] Universal algebra representation of regular $GA$-dependence structures. Bull. Acad. Polon. Sci. 17 (1969), 203–206, MR 41#132. | MR | Zbl

[31] Semigroups with few endomorphisms (with B. H. Neumann). J. Austral. Math. Soc 10 (1969), 162–168, MR 39#7012. | MR

[32] Lattice representation of general algebraic dependence. Math. Systems Theory 4 (1969), 289–299, MR 40#5521. | MR | Zbl

[33] Remarks on V. P. Elizarov’s article “Two properties of associative rings”. Math. Zametki 6 (1969), 541–544, MR 41#1882. (Russian) | MR | Zbl

[34] Structure of perfect rings. Bull. Austral. Math. Soc. 2 (1970), 117–124, MR 41#3523. | DOI | MR | Zbl

[35] A characterization of perfect rings. Pacific J. Math. 33 (1970), 79–88, MR 41#6907. | DOI | MR | Zbl

[36] A class of perfect rings. Can. J. Math. 22 (1970), 822–826, MR 41#8464. | DOI | MR | Zbl

[37] Lattice formulation of general algebraic dependence. Czechoslovak Math. J. 20/95 (1970), MR 42#2992. | MR | Zbl

[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.

[39] Tree-like matrix rings. Fund. Math. 72 (1971), 155–163, MR 64#1838. | DOI | MR | Zbl

[40] Anneaux balances (with C. M. Ringel). C. R. Acad. Sc. Paris 272 (1971), 1555–1558, MR 42#1695. | MR

[41] A class of balanced non-uniserial rings (with C. M. Ringel). Mat. Ann. 195 (1972), 279–297, MR 49#7319. | MR

[42] Rank of a module. Proceedings of Can. Math. Congress Meeting (1971), 55–76, MR 52#3240. | MR | Zbl

[43] Balanced rings (with C. M. Ringel). Lectures Notes in Math. No. 246, Springer-Verlag, 1972, pp. 73–143, MR 49#5099. | MR

[44] Rings with the double centralizer property (with C. M. Ringel). J. of Algebra 22 (1972), 480–501, MR 46#5384. | MR

[45] Balanced local rings with commutative residue field (with C. M. Ringel). Bull. Amer. Math. Soc 195 (1972), 279–391, MR 50#9964. | MR

[46] The structure of balanced rings (with C. M. Ringel). Proc. London Math. Soc. 26 (1973), 446–462, MR 47#3447. | MR

[47] Exceptional rings (with C. M. Ringel). Proceedings of Ring Theory Conference, Keszthely, Hungary, 1971, pp. 167–171, MR 51#12927. | MR

[48] Decomposition of modules over ring uniserial rings (with C. M. Ringel). Math. Z. 192 (1972), 207–230, MR 47#6774.

[49] Représentations indecomposables des algébres (with C. M. Ringel). C. R. Acad. Sc. Paris 276 (1973), 1393–1396, MR 47#5054.

[50] Sur la conjecture de Brauer-Thrall (with C. M. Ringel). C. R. Acad. Sc. Paris 276 (1973), 1441–1442, MR 48#338. | MR

[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. | DOI | MR

[52] Représentations des graphes valués (with C. M. Ringel). C. R. Acad. Sc. Paris 278 (1974), 537–540, MR 50#9973. | MR

[53] On algebras of finite representation type (with C. M. Ringel). J. Algebra 33 (1975), 306–394, MR 50#9974. | MR

[54] Coxeter functors and representation theory. Sém. Alg. Univ. Paris (1974), 1707–1722, MR 53#537. | MR

[55] Filtered vector spaces. Séminaire P. Dubreil, Paris (1974/75), 501–506, MR 53#8150.

[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.

[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. | DOI | MR

[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

[59] Real subspaces of a quaternion vector space (with C. M. Ringel). Can. J. Math. 30 (1978), 1228–1242, MR 80a:15033. | MR

[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. | MR | Zbl

[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

[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.

[63] A remark on normal forms of matrices (with C. M. Ringel). Linear Algebra and Appl. 30 (1980), 109–114, MR 82f:15007. | DOI | MR

[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.

[65] Perfect elements in the free modular lattices (with C. M. Ringel). Math. Ann. 247 (1980), 95–100, MR 82k:06009. | MR

[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

[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

[68] A class of bounded hereditary noetherian domains (with C. M. Ringel). J. Algebra 92 (1985), 311-321, MR 86h:16021. | MR

[69] On modular representations of $A_4$ (with C. M. Ringel). J. of Algebra 123 (1989), 506–522.

[70] Quasi-hereditary algebras (with C. M. Ringel). Illinois J. Math. 33 (1989), 280–291. | MR

[71] A construction for quasi-hereditary algebras (with C. M. Ringel). Comp. Math. 70 (1989), 155–175. | MR

[72] Auslander algebras as quasi-hereditary algebras (with C. M. Ringel). J. London Math. Soc. 39 (1989), 457–466. | MR

[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

[74] The dimension of a quasi-hereditary algebra (with C. M. Ringel). Banach Centre publ., Warsaw 26 (1990), 263–271. | MR

[75] The hereditary measure of an algebra. Bull. Austral. Math. Soc. 40 (1989), 189–197. | DOI | MR

[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

[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

[78] The Hochschild cocycle of a long exact sequence (with C. M. Ringel). Tsukuba J. Math. 14 (1990), 489–496. | MR

[79] Canonical forms of pairs of complex matrices (with C. M. Ringel). Linear Algebra and Appl. 147 (1991), 387–410. | MR

[80] Neat algebras (with I. Ágoston and T. Wakamatsu). Comm. in Algebra 19 (1991), 433–442. | DOI

[81] Towers of semi-simple algebras (with C. M. Ringel). Funct. Analysis 102 (1991), 35–46. | DOI | MR

[82] Pairs of semi-simple algebras. Representation of Algebras, London Math. Soc. Series 168, Cambridge Univ. Press, 1992, pp. 185–199. | Zbl

[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

[1] Representations of valued graphs. ISBN 2-7606-0503; MR 82k:16037, Les Presses de l’Université de Montréal, 1980, pp. 199. | MR | Zbl

[2] An introduction to diagrammatical methods in representation theory. MR 83d:16030, Universität Essen Lecture Notes, 1981, pp. 203. | MR | Zbl