A generalization of a theorem of Foxby - Mathematics > Commutative AlgebraReportar como inadecuado




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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.



Autor: Tokuji Araya, Ryo Takahashi

Fuente: https://arxiv.org/



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