Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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