On square-free and radical factorizations and existence of some divisors
Commutative Algebra
2021-07-29 v1
Abstract
We discuss various square-free and radical factorizations and existence of some divisors in monoids in the context of: atomicity, ascending chain condition for principal ideals, a pre-Schreier property, a greatest common divisor property and a greatest common divisor for sets property.
Keywords
Cite
@article{arxiv.2107.13539,
title = {On square-free and radical factorizations and existence of some divisors},
author = {Lukasz Matysiak},
journal= {arXiv preprint arXiv:2107.13539},
year = {2021}
}
Comments
25 pages