Generalization of the Correspondence about DTr-selfinjective algebras

Mathematics – Representation Theory

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Scientific paper

We give a correspondence between (n-1)-DTr-selfinjective algebras and
algebras with dominant dimension and selinjective dimension being both n for
any n bigger than 1 . Furthermore, we show the relation between the module
categories of the two kinds of algebras. At last we show the sepcial condition
n = 2.

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