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july 2020 On Shifted Principles of Generalized Local Cohomology Modules
Thiago Henrique de Freitas, Victor Hugo Jorge Pérez
Bull. Belg. Math. Soc. Simon Stevin 27(2): 203-218 (july 2020). DOI: 10.36045/bbms/1594346415

Abstract

In this paper, we study the structure of attached prime ideals of generalized local cohomology modules. We show the Shifted Localization Principle, the Weak General Shifted Localization Principle and the Shifted Completion Principle for generalized local cohomology modules. We introduce a generalization of pseudo-support and pseudo-dimension using the generalized local cohomology modules and we show that pseudo-support is closed under certain conditions. As applications, we investigate the top non-vanishing and the associativity formula for multiplicities of generalized local cohomology modules.

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Thiago Henrique de Freitas. Victor Hugo Jorge Pérez. "On Shifted Principles of Generalized Local Cohomology Modules." Bull. Belg. Math. Soc. Simon Stevin 27 (2) 203 - 218, july 2020. https://doi.org/10.36045/bbms/1594346415

Information

Published: july 2020
First available in Project Euclid: 10 July 2020

zbMATH: 07242766
MathSciNet: MR4121371
Digital Object Identifier: 10.36045/bbms/1594346415

Subjects:
Primary: 13D45, 13H10, 13H15

Rights: Copyright © 2020 The Belgian Mathematical Society

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Vol.27 • No. 2 • july 2020
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