On the reduced grades of modules over commutative rings

2016/05/16 by Yoshinao Tsuchiya, Tsuchiya, Yoshinao
Mathematics · #Rings, Modules, and Algebras #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.1605.04722

Abstract

Let R be a commutative Noetherian ring. Recently, Dibaei and Sadeghi have studied the reduced grade of a horizontally linked R-module M of finite GC-dimension, where C is a semidualizing R-module. In this paper, we highly refine their results. In particular, our main result removes the assumptions that M is holizontally linked and M has finite GC -dimension.

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