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Structure of irreducible homomorphisms to/from free modules (1606.02621v2)
Published 8 Jun 2016 in math.AC
Abstract: The primary goal of this paper is to investigate the structure of irreducible monomorphisms to and irreducible epimorphisms from finitely generated free modules over a noetherian local ring. Then we show that over such a ring, self-vanishing of Ext and Tor for a finitely generated module admitting such an irreducible homomorphism forces the ring to be regular.
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