december 2022 Algebraic and combinatorial properties of generalized bi-polymatroidal ideals
Monica La Barbiera, Roya Moghimipor
Bull. Belg. Math. Soc. Simon Stevin 29(5): 645-661 (december 2022). DOI: 10.36045/j.bbms.220604

Abstract

In this paper, we introduce the generalized notion of generalized discrete bi-polymatriods and the corresponding notion of generalized bi-polymatriodal ideals. Moreover, the behavior of the monomial localizations of such ideals is investigated. It is shown that generalized bi-polymatriodal ideals have the strong persistence property.

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Monica La Barbiera. Roya Moghimipor. "Algebraic and combinatorial properties of generalized bi-polymatroidal ideals." Bull. Belg. Math. Soc. Simon Stevin 29 (5) 645 - 661, december 2022. https://doi.org/10.36045/j.bbms.220604

Information

Published: december 2022
First available in Project Euclid: 30 March 2023

Digital Object Identifier: 10.36045/j.bbms.220604

Subjects:
Primary: 05B35 , 05E40 , 13C13 , 13F20

Keywords: Bi-polymatroidal ideals , linear quotients , monomial localization , strong persistence property

Rights: Copyright © 2022 The Belgian Mathematical Society

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Vol.29 • No. 5 • december 2022
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