LOCAL COHOMOLOGY MODULES AND RELATIVE COHEN-MACAULAYNESS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2018, Vol 38, Issue 2
Abstract
Let (R, m) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal a of R and give some results on such rings in relation with Artinianness, Non-Artinianness of local cohomology modules and Lyubeznik numbers. We also present some related examples to this issue. Keywords: local cohomology modules, Lyubeznik numbers, Non-Artinian modules, relative Cohen-Macaulayness. 2010 Mathematics Subject Classification: Primary 13D45; Secondary 13C14, 13E10.
Authors and Affiliations
M. Mast Zohouri
Keywords
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