Factorizations in Modules and Splitting Multiplicatively Closed Subsets
Commutative Algebra
2018-06-07 v1
Abstract
We introduce the concept of multiplicatively closed subsets of a commutative ring which split an -module and study factorization properties of elements of with respect to such a set. Also we demonstrate how one can utilize this concept to investigate factorization properties of and deduce some Nagata type theorems relating factorization properties of to those of its localizations, when is an integral domain.
Cite
@article{arxiv.1705.09799,
title = {Factorizations in Modules and Splitting Multiplicatively Closed Subsets},
author = {Ashkan Nikseresht},
journal= {arXiv preprint arXiv:1705.09799},
year = {2018}
}