Affine semigroups of maximal projective dimension
Commutative Algebra
2022-08-25 v3
Abstract
We generalize the notion of symmetric semigroups, pseudo symmetric semigroups, and row factorization matrices for pseudo Frobenius elements of numerical semigroups to the case of semigroups with maximal projective dimension (MPD semigroups).
Cite
@article{arxiv.2111.12070,
title = {Affine semigroups of maximal projective dimension},
author = {Om Prakash Bhardwaj and Kriti Goel and Indranath Sengupta},
journal= {arXiv preprint arXiv:2111.12070},
year = {2022}
}
Comments
The name Betti-type has been introduced, which is meaningful even for semigroups which are not Cohen-Macaulay. Extended abstract published in the proceedings of FPSAC 2022. The paper will appear in the journal Collectanea Mathematica