Semistar operations and standard closure operations
Commutative Algebra
2015-12-11 v2
Abstract
Let be a commutative ring. It is shown that there is an order isomorphism between a popular class of finite type closure operations on the ideals of and the poset of semistar operations of finite type.
Cite
@article{arxiv.1304.8067,
title = {Semistar operations and standard closure operations},
author = {Neil Epstein},
journal= {arXiv preprint arXiv:1304.8067},
year = {2015}
}
Comments
The main change from the previous version is a new theorem in section 4 characterizing the standardized radical in terms of the total quotient ring. I also incorporated minor changes following the referee's comments. 12 pages, comments welcome