Structure of irreducible homomorphisms to/from free modules

Published 8 Jun 2016 in math.AC | (1606.02621v2)

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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