Stable Equivalences of Polynomial Growth Self-Injective Algebras
by
Zygmunt Pogorzaly
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@MISC{Pogorzaly_stableequivalences,
author = {Zygmunt Pogorzaly},
title = {Stable Equivalences of Polynomial Growth Self-Injective Algebras},
year = {}
}
author = {Zygmunt Pogorzaly},
title = {Stable Equivalences of Polynomial Growth Self-Injective Algebras},
year = {}
}
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Abstract:
njective K-algebra which is representation-infinite of polynomial growth whose Auslander-Reiten quiver \Gamma B contains at least one generalized standard component. Moreover, A and B have the same number of pairwise non-isomorphic simple modules. As a consequence of the above result and those in [1], [2] one gets the following. Corollary 2 Let A and B be stably equivalent self-injective, standard K- algebras. Then A is of polynomial growth (resp. domestic) if and only if B is of polynomial growth (resp. domestic). References
Citations
| 1 | Algebras stably equivalent to selfinjective algebras whose AuslanderReiten quivers consist only of generalized standard components – Pogorzaly |
