Structure of irreducible homomorphisms to/from free modules
S Nasseh, R Takahashi - Algebras and Representation Theory, 2018 - Springer
Algebras and Representation Theory, 2018•Springer
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.
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.
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.
Springer
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