Details
| Original language | English |
|---|---|
| Pages (from-to) | 985-994 |
| Number of pages | 10 |
| Journal | Journal of algebra |
| Volume | 312 |
| Issue number | 2 |
| Early online date | 6 Mar 2007 |
| Publication status | Published - 15 Jun 2007 |
Abstract
We show how to extend the theory of generalized Reynolds ideals, as introduced by B. Külshammer, from symmetric algebras to arbitrary finite-dimensional algebras over fields with positive characteristic. This provides new invariants of the derived module categories of finite-dimensional algebras, extending recent results of the third author for symmetric algebras.
Keywords
- Derived equivalences, Generalized Reynolds ideals, Invariants of derived categories, Symmetric algebras, Trivial extensions
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 312, No. 2, 15.06.2007, p. 985-994.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Generalized Reynolds ideals for non-symmetric algebras
AU - Bessenrodt, Christine
AU - Holm, Thorsten
AU - Zimmermann, Alexander
PY - 2007/6/15
Y1 - 2007/6/15
N2 - We show how to extend the theory of generalized Reynolds ideals, as introduced by B. Külshammer, from symmetric algebras to arbitrary finite-dimensional algebras over fields with positive characteristic. This provides new invariants of the derived module categories of finite-dimensional algebras, extending recent results of the third author for symmetric algebras.
AB - We show how to extend the theory of generalized Reynolds ideals, as introduced by B. Külshammer, from symmetric algebras to arbitrary finite-dimensional algebras over fields with positive characteristic. This provides new invariants of the derived module categories of finite-dimensional algebras, extending recent results of the third author for symmetric algebras.
KW - Derived equivalences
KW - Generalized Reynolds ideals
KW - Invariants of derived categories
KW - Symmetric algebras
KW - Trivial extensions
UR - http://www.scopus.com/inward/record.url?scp=34248208566&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2007.02.028
DO - 10.1016/j.jalgebra.2007.02.028
M3 - Article
AN - SCOPUS:34248208566
VL - 312
SP - 985
EP - 994
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
IS - 2
ER -