Article
Structure of Irreducible Homomorphisms to/from Free Modules
Algebras and Representation Theory
Document Type
Article
Publication Date
7-13-2017
DOI
10.1007/s10468-017-9722-z
Disciplines
- Education and
- Mathematics
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.
Citation Information
Saeed Nasseh and Ryo Takahashi. "Structure of Irreducible Homomorphisms to/from Free Modules" Algebras and Representation Theory (2017) p. 1 - 15 Available at: http://works.bepress.com/saeed_nasseh/39/