Structure of Irreducible Homomorphisms to/from Free Modules

Document Type

Article

Publication Date

7-13-2017

Publication Title

Algebras and Representation Theory

DOI

10.1007/s10468-017-9722-z

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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