Prüfer-like conditions on an amalgamated algebra along an ideal

Abstract

Let $f:A⟶B$ be a ring homomorphism and let $\mathfrak{b}$ be an ideal of $B$. In this paper we study Prüfer like conditions in the amalgamation of $A$ with $B$ along $\mathfrak{b}$, with respect to $f$, a ring construction introduced in 2009 by D'Anna, Finocchiaro and Fontana.

17 pages. To appear in Houston Journal of Mathematics

References in corpus (1)

• The amalgamated duplication of a ring along a multiplicative-canonical ideal