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arXiv · 1605.04722

On the reduced grades of modules over commutative rings

Yoshinao Tsuchiya
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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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Yoshinao Tsuchiya. 2016-05-16. On the reduced grades of modules over commutative rings. https://arxiv.org/abs/1605.04722

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