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Stable equivalence for self-injective algebras and a generalization of tilting modules. (English) Zbl 0726.16009
Let T(A) denote the trivial extension $$A\ltimes DA$$ of an Artin algebra A by the minimal injective cogenerator DA. The main results state that for an equivalence S: mod-T(A)$$=mod$$-T(B) with two additional conditions there is a generalized tilting bimodule $${}_ BT_ A$$ where A and B are Artin algebras. Several interesting properties of generalized tilting modules are also obtained as well as a construction of a stably equivalent functor.

##### MSC:
 16G10 Representations of associative Artinian rings 16D90 Module categories in associative algebras 16D50 Injective modules, self-injective associative rings
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##### References:
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