Ore extensions over Noetherian δ-rings
Abstract
Let R be a ring. Let σ be an automorphism of R such that aσ(a) ∈ P(R) implies a ∈ P(R) for a ∈ R and δ a σ-derivation of R such that aδ(a) ∈ P(R) implies a ∈ P(R), where P(R) denotes the prime radical of R. In this paper we show that if R is Noetherian ring such that σ(P) = P for all minimal prime ideal P of R, then R[x;σ,δ] is 2-primal.
Copyright © 2013 Smarti Gosani, V. K. Bhat. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Gosani, V. K. Bhat, Ore extensions over Noetherian δ-rings, J. Math. Comput. Sci. 3 (2013), 1180–1186.
BibTeX
@article{Gosani2013,
author = {Gosani, Smarti and Bhat, V. K.},
title = {Ore extensions over Noetherian δ-rings},
journal = {J. Math. Comput. Sci.},
volume = {3},
year = {2013},
pages = {1180--1186},
doi = {}
}