Poincar\'e series of semigroups
Commutative Algebra
2025-07-24 v2 Combinatorics
Abstract
Many invariants of finitely generated positive cancelative commutative semigroups can be studied from their Poincar\'e series. We offer and present several closed formulas for them. Moreover, those formulas have elementary proofs and are presented in two distinct forms: one characterized in terms of simplicial complexes and the other by a purely set theoretical approach.
Cite
@article{arxiv.2410.17818,
title = {Poincar\'e series of semigroups},
author = {Antonio Campillo and Raquel Melgar},
journal= {arXiv preprint arXiv:2410.17818},
year = {2025}
}
Comments
18 pages, 7 figures