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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On algebras with a finite number of indecomposable modules
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by C. W. Curtis and J. P. Jans PDF
Trans. Amer. Math. Soc. 114 (1965), 122-132 Request permission
References
  • R. Brauer and C. Nesbitt, On the modular characters of groups, Ann. of Math. (2) 42 (1941), 556–590. MR 4042, DOI 10.2307/1968918
  • Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
    • C. W. Curtis, On algebras of bounded representation type, Abstract 597-141, Notices Amer. Math. Soc. 10 (1963), 99.
  • Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0144979
  • B. Eckmann and A. Schopf, Über injektive Moduln, Arch. Math. (Basel) 4 (1953), 75–78 (German). MR 55978, DOI 10.1007/BF01899665
  • Samuel Eilenberg, Homological dimension and syzygies, Ann. of Math. (2) 64 (1956), 328–336. MR 82489, DOI 10.2307/1969977
  • D. G. Higman, Indecomposable representations at characteristic $p$, Duke Math. J. 21 (1954), 377–381. MR 67896
  • James P. Jans, On the indecomposable representations of algebras, Ann. of Math. (2) 66 (1957), 418–429. MR 88485, DOI 10.2307/1969899
  • James P. Jans, Rings and homology, Holt, Rinehart and Winston, New York, 1964. MR 0163944
  • J. P. Jans, Some generalizations of finite projective dimension, Illinois J. Math. 5 (1961), 334–344. MR 183748
  • Kiiti Morita, On group rings over a modular field which possess radicals expressible as principal ideals, Sci. Rep. Tokyo Bunrika Daigaku. Sect. A 4 (1951), 177–194. MR 49909
  • Kiiti Morita, Duality for modules and its applications to the theory of rings with minimum condition, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A 6 (1958), 83–142. MR 96700
  • Tadasi Nakayama, Note on uni-serial and generalized uni-serial rings, Proc. Imp. Acad. Tokyo 16 (1940), 285–289. MR 3618
  • R. J. Nunke, Modules of extensions over Dedekind rings, Illinois J. Math. 3 (1959), 222–241. MR 102538
  • Hiroyuki Tachikawa, On algebras of which every indecomposable representation has an irreducible one as the top or the bottom Loewy constituent, Math. Z. 75 (1960/61), 215–227. MR 124356, DOI 10.1007/BF01211022
  • Tensho Yoshii, Note on algebras of bounded representation type, Proc. Japan Acad. 32 (1956), 441–445. MR 81894
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • 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