Pr\"ufer-Like Conditions in Subring Retracts and Applications
Commutative Algebra
2007-12-04 v1
Abstract
In this paper, we consider five possible extensions of the Pr\"ufer domain notion to the case of commutative rings with zero divisors. We investigate the transfer of these Pr\"ufer-like properties between a commutative ring and its subring retract. Our results generate new families of examples of rings subject to a given Pr\"ufer-like conditions.
Keywords
Cite
@article{arxiv.0712.0128,
title = {Pr\"ufer-Like Conditions in Subring Retracts and Applications},
author = {C. Bakkari and N. Mahdou and H. Mouanis},
journal= {arXiv preprint arXiv:0712.0128},
year = {2007}
}