Article ID Journal Published Year Pages File Type
4588186 Journal of Algebra 2008 8 Pages PDF
Abstract

In this paper we consider five extensions of the Prüfer domain notion to commutative rings with zero-divisors and investigate their behavior in a special type of pullback called a conductor square. That is, for a pair of rings R⊂T with non-zero conductor of T into R, we find necessary and sufficient conditions on the rings T, T/C, and R/C in order that R has one of the five Prüfer conditions.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory