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Laura Skew Group Algebras

2007
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Communications in Algebra
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The third author is a researcher from CONICET, Argentina. LEMMA 2.1 Let A be an artin algebra, and M be an indecomposable A-module such that there exists a path M 0 Then there exists an indecomposable A-module L with pd A L ≥ 2 and Hom A (L, M ) = 0. Proof. Assume that this is not the case, that is, there exist M ∈ ind A and a path Proof. Assume M to be indecomposable and Ext-injective in add L A . Then τ −1 A M ∈ L A . By Theorem 1.1, there exists an indecomposable A-module L such that pd A L

doi:10.1080/00927870701302230
fatcat:rnwhagxcxjhrvfhz346tpl6cgy