Structure of irreducible homomorphisms to/from free modules
Commutative Algebra
2017-07-04 v2
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.
Cite
@article{arxiv.1606.02621,
title = {Structure of irreducible homomorphisms to/from free modules},
author = {Saeed Nasseh and Ryo Takahashi},
journal= {arXiv preprint arXiv:1606.02621},
year = {2017}
}
Comments
14 pages. Final version to appear in Algebras and Representation Theory