Structure of Irreducible Homomorphisms to/from Free Modules

Authors

Saeed Nasseh, Georgia Southern UniversityFollow
Ryo Takahashi, Nagoya UniversityFollow

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.

Recommended Citation

Nasseh, Saeed, Ryo Takahashi. 2017. "Structure of Irreducible Homomorphisms to/from Free Modules." Algebras and Representation Theory: 1-15. doi: 10.1007/s10468-017-9722-z
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/417