Minimal Prime Ideals of Ore Extensions over Commutative Dedekind Domains
Rings and Algebras
2010-02-02 v1
Abstract
Let R = D[x;\sigma;\delta] be an Ore extension over a commutative Dedekind domain D, where \sigma is an automorphism on D. In the case \delta = 0 Marubayashi et. al. already investigated the class of minimal prime ideals in term of their contraction on the coefficient ring D. In this note we extend this result to a general case \delta not 0.
Cite
@article{arxiv.1002.0278,
title = {Minimal Prime Ideals of Ore Extensions over Commutative Dedekind Domains},
author = {Amir Kamal Amir and Pudji Astuti and Intan Muchtadi-Alamsyah},
journal= {arXiv preprint arXiv:1002.0278},
year = {2010}
}
Comments
8 pages