On algebras with a finite number of indecomposable modules
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- by C. W. Curtis and J. P. Jans
- Trans. Amer. Math. Soc. 114 (1965), 122-132
- DOI: https://doi.org/10.1090/S0002-9947-1965-0178012-9
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References
- R. Brauer and C. Nesbitt, On the modular characters of groups, Ann. of Math. (2) 42 (1941), 556β590. 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, Γber injektive Moduln, Arch. Math. (Basel) 4 (1953), 75β78 (German). MR 55978, DOI 10.1007/BF01899665
- Samuel Eilenberg, Homological dimension and syzygies, Ann. of Math. (2) 64 (1956), 328β336. MR 82489, DOI 10.2307/1969977
- D. G. Higman, Indecomposable representations at characteristic $p$, Duke Math. J. 21 (1954), 377β381. MR 67896
- James P. Jans, On the indecomposable representations of algebras, Ann. of Math. (2) 66 (1957), 418β429. 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), 334β344. 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), 177β194. 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), 83β142. MR 96700
- Tadasi Nakayama, Note on uni-serial and generalized uni-serial rings, Proc. Imp. Acad. Tokyo 16 (1940), 285β289. MR 3618
- R. J. Nunke, Modules of extensions over Dedekind rings, Illinois J. Math. 3 (1959), 222β241. 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), 215β227. MR 124356, DOI 10.1007/BF01211022
- Tensho Yoshii, Note on algebras of bounded representation type, Proc. Japan Acad. 32 (1956), 441β445. MR 81894
Bibliographic 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