Radical semistar operations
Commutative Algebra
2022-07-18 v1
Abstract
We introduce and study the set of radical stable operations of an integral domain . We show that their set is a complete lattice that is the join-completion of the set of spectral semistar operations, and we characterize when every radical operation is spectral (under the hypothesis that is rad-colon coherent). When is a Pr\"ufer domain such that every set of minimal prime ideals is scattered, we completely classify stable semistar operations.
Keywords
Cite
@article{arxiv.2207.07366,
title = {Radical semistar operations},
author = {Dario Spirito},
journal= {arXiv preprint arXiv:2207.07366},
year = {2022}
}