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On algebras with a finite number of indecomposable modules


Authors: C. W. Curtis and J. P. Jans
Journal: Trans. Amer. Math. Soc. 114 (1965), 122-132
MSC: Primary 16.40
DOI: https://doi.org/10.1090/S0002-9947-1965-0178012-9
MathSciNet review: 0178012
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  • [1] R. Brauer and C. Nesbitt, On the modular characters of groups, Ann. of Math. (2) 42 (1941), 556-590. MR 0004042 (2:309c)
  • [2] H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, Princeton, N.J., 1956. MR 0077480 (17:1040e)
  • [3] C. W. Curtis, On algebras of bounded representation type, Abstract 597-141, Notices Amer. Math. Soc. 10 (1963), 99.
  • [4] C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, Interscience, New York, 1962. MR 0144979 (26:2519)
  • [5] B. Eckmann and A. Schopf, Über injective Moduln, Arch. Math. 4 (1953), 75-78. MR 0055978 (15:5d)
  • [6] S. Eilenberg, Homological dimension and syzygies, Ann. of Math. (2) 64 (1956), 328-336. MR 0082489 (18:558c)
  • [7] D. G. Higman, Indecomposable representations at characteristic p, Duke Math. J. 21 (1954), 377-381. MR 0067896 (16:794c)
  • [8] J. P. Jans, On the indecomposable representations of algebras, Ann. of Math. (2) 66 (1957), 418-429. MR 0088485 (19:526e)
  • [9] -, Rings and homology, Holt, New York, 1964. MR 0163944 (29:1243)
  • [10] -, Some generalizations of finite projective dimension, Illinois J. Math. 5 (1961), 334-343. MR 0183748 (32:1226)
  • [11] K. Morita, On group rings over a modular field which possess radicals expressible as principal ideals, Sci. Rep. Tokyo Bunrika Daigaku 4 (1951), 177-194. MR 0049909 (14:246a)
  • [12] -, Duality for modules and its application to the theory of rings with minimum condition, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A 6 (1958), 83-142. MR 0096700 (20:3183)
  • [13] T. Nakayama, Note on uni-serial and generalized uni-serial rings, Proc. Imp. Acad. Tokyo 16 (1940), 285-289. MR 0003618 (2:245c)
  • [14] R. J. Nunke, Modules of extensions over Dedekind rings, Illinois J. Math. 3 (1959), 222-241. MR 0102538 (21:1329)
  • [15] H. Tachikawa, On algebras of which every indecomposable representation has an irreducible one as the top or the bottom Loewy constituent, Math. Z. 75 (1961), 215-227. MR 0124356 (23:A1670)
  • [16] T. Yoshii, Note on algebras of bounded representation type, Proc. Japan Acad. 32 (1956), 441-445. MR 0081894 (18:462h)

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DOI: https://doi.org/10.1090/S0002-9947-1965-0178012-9
Article copyright: © Copyright 1965 American Mathematical Society

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