Cohen-Macaulay Loci of modules
Mohammad T. Dibaei, Raheleh Jafari
TL;DR
This paper investigates the Cohen-Macaulay locus of modules over noetherian local rings, establishing conditions under which this locus is Zariski-open and exploring properties of rings with Cohen-Macaulay formal fibres.
Contribution
It provides new results on when the Cohen-Macaulay locus is Zariski-open and analyzes rings with Cohen-Macaulay formal fibres over specific prime ideals.
Findings
Cohen-Macaulay locus is Zariski-open in certain cases
Characterization of rings with Cohen-Macaulay formal fibres
Conditions for Cohen-Macaulay locus openness
Abstract
The Cohen-Macaulay locus of any finite module over a noetherian local ring is studied and it is shown that it is a Zariski-open subset of in certain cases. In this connection, the rings whose formal fibres over certain prime ideals are Cohen-Macaulay are studied.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Polynomial and algebraic computation