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Left-sided quasi-invertible bimodules over Nakayama algebras. (English) Zbl 1132.16009

Summary: Bimodules over triangular Nakayama algebras that give stable equivalences of Morita type are studied here. As a consequence one obtains that every stable equivalence of Morita type between triangular Nakayama algebras is a Morita equivalence.

MSC:

16D90 Module categories in associative algebras
16D20 Bimodules in associative algebras
16G20 Representations of quivers and partially ordered sets
16E30 Homological functors on modules (Tor, Ext, etc.) in associative algebras
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