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- Title
On Modules of Finite Complexity Over Selfinjective Artin Algebras.
- Authors
Green, Edward; Zacharia, Dan
- Abstract
In this paper we study Auslander-Reiten sequences of modules with finite complexity over selfinjective artin algebras. In particular, we show that for all eventually Ω-perfect modules of finite complexity, the number of indecomposable non projective summands of the middle term of such sequences is bounded by 4. We also describe situations in which all non projective modules in a connected component of the Auslander-Reiten quiver are eventually Ω-perfect.
- Subjects
ARTIN algebras; MODULES (Algebra); FINITE groups; COMMUTATIVE algebra; ARTIN rings
- Publication
Algebras & Representation Theory, 2011, Vol 14, Issue 5, p857
- ISSN
1386-923X
- Publication type
Article
- DOI
10.1007/s10468-010-9221-y