The \mathfraka-Filter grade of an ideal \mathfrakb and (\mathfraka,\mathfrakb)-f-modules

2020/09/22 by Shen, Jingwen, Yang, Xiaoyan
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.10407

Abstract

Let \mathfraka,\mathfrakb be two ideals of a commutative noetherian ring R and M a finitely generated R-module.~We continue to study \textrmf\textrm-grad_R(\mathfraka,\mathfrakb,M) which was introduced in [Bull. Malays. Math. Sci. Soc. 38 (2015) 467--482], some computations and bounds of \textrmf\textrm-grad_R(\mathfraka,\mathfrakb,M) are provided.~We also give the structure of (\mathfraka,\mathfrakb)-f-modules,~various properties which are analogous to those of Cohen Macaulay modules are discovered.

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