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arxiv: 1204.0967 · v2 · pith:7ZUAZAFMnew · submitted 2012-04-04 · 🧮 math.RT

Generalization of the Correspondence about DTr-selfinjective algebras

classification 🧮 math.RT
keywords algebrascorrespondencedimensiondtr-selfinjectivebiggercategoriesconditiondominant
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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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