On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set
Commutative Algebra
2024-04-18 v1
Abstract
We construct monoid algebras which satisfy the ascending chain condition on principal ideals and which have the property that every nonempty subset of occurs as a length set.
Cite
@article{arxiv.2404.11494,
title = {On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set},
author = {Alfred Geroldinger and Felix Gotti},
journal= {arXiv preprint arXiv:2404.11494},
year = {2024}
}
Comments
14 pages