A generalization of a theorem of Foxby - Mathematics > Commutative AlgebraReport as inadecuate




A generalization of a theorem of Foxby - Mathematics > Commutative Algebra - Download this document for free, or read online. Document in PDF available to download.

Abstract: In this paper, it is proved that a commutative noetherian local ringadmitting a finitely generated module of finite projective and injectivedimensions with respect to a semidualizing module is Gorenstein. This resultrecovers a celebrated theorem of Foxby.



Author: Tokuji Araya, Ryo Takahashi

Source: https://arxiv.org/







Related documents