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Cohen-Macaulayness of Vertex Splittable Monomial Ideals
Version 1
: Received: 9 February 2024 / Approved: 9 February 2024 / Online: 9 February 2024 (14:56:26 CET)
A peer-reviewed article of this Preprint also exists.
Crupi, M.; Ficarra, A. Cohen–Macaulayness of Vertex Splittable Monomial Ideals. Mathematics 2024, 12, 912. Crupi, M.; Ficarra, A. Cohen–Macaulayness of Vertex Splittable Monomial Ideals. Mathematics 2024, 12, 912.
Abstract
The Cohen-Macaulay vertex splittable ideals are characterized. As a consequence, we recover several Cohen-Macaulay classifications of families of monomial ideals known in the literature by new simpler combinatorial proofs.
Keywords
Cohen-Macaulay ideals; vertex splittable ideals
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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