Article
Full entry |
PDF
(0.1 MB)
Feedback
PDF
(0.1 MB)
Feedback
Keywords:
associated graded algebra; $QF$ algebra; $QF$-3 algebra; upper Loewy series; lower Loewy series
associated graded algebra; $QF$ algebra; $QF$-3 algebra; upper Loewy series; lower Loewy series
Summary:
References:
[1] Auslander, M.: Representation dimension of Artin algebras. Queen Mary College Lecture Notes (1971). Zbl 0331.16026
[2] Morita, K.: Duality for modules and its applications to the theory of rings with minimum condition. Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A. No. 150 (1958), 1-60. MR 0096700 | Zbl 0080.25702
[3] Nakayama, T.: On Frobeniusean algebras. II, Ann. Math. 42 (1941), 1-21. MR 0004237 | Zbl 0026.05801
[4] Tachikawa, H.: Quasi-Frobenius rings and generalizations. LNM 351 (1973). Zbl 0271.16004
[5] Tachikawa, H.: QF rings and QF associated graded rings. Proc. 38th Symposium on Ring Theory and Representation Theory, Japan 45-51.\hfil http://fuji.cec.yamanash.ac.jp/ring/oldmeeting/2005/reprint2005/abst-3-2.pdf MR 2264126
[6] Thrall, R. M.: Some generalizations of quasi-Frobenius algebras. Trans. Amer. Math. Soc. 64 (1948), 173-183. MR 0026048 | Zbl 0041.01001
Search
Partner of
