Mathematical Sciences: Faculty Publications
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.
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
Copyright
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