Rings with the Beachy-Blair condition
Rings and Algebras
2010-11-09 v2
Abstract
A ring satisfies the left Beachy-Blair condition if each of its faithful left ideal is cofaithful. Every left zip ring satisfies the left Beachy-Blair condition, but both properties are not equivalent. In this paper we will study the similarities and the differences between zip rings and rings with the Beachy-Blair condition. We will also study the relationship between the Beachy-Blair condition of a ring and its skew polynomial and skew power series extensions. We give an example of a right zip ring that is not left zip, proving that the zip property is not symmetric.
Cite
@article{arxiv.1011.0656,
title = {Rings with the Beachy-Blair condition},
author = {Elena Rodríguez-Jorge},
journal= {arXiv preprint arXiv:1011.0656},
year = {2010}
}
Comments
I replace the .tex file to add the references