A note on almost Cohen-Macaulay monomial ideals

Amir Mafi; Dler Naderi

A note on almost Cohen-Macaulay monomial ideals

Commutative Algebra 2022-04-19 v2

Authors: Amir Mafi , Dler Naderi

Abstract

Let $R = k[x_1,\ldots, x_n]$ be the polynomial ring in $n$ variables over a field $k$ and let $I$ be a monomial ideal of $R$ . In this paper, we study almost Cohen-Macaulay simplicial complex. Moreover, we characterize the almost Cohen-Macaulay polymatroidal Veronese type and transversal polymatroidal ideals and furthermore we give some examples.

Keywords

cohen-macaulay rings and modules monomial ideals ideal theory

Cite

@article{arxiv.2107.06742,
  title  = {A note on almost Cohen-Macaulay monomial ideals},
  author = {Amir Mafi and Dler Naderi},
  journal= {arXiv preprint arXiv:2107.06742},
  year   = {2022}
}

Comments

8 pages, to appear in Bull. Math. Soc. Sci. Math. Roumanie

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