Gaussian property in amalgamated algebras along an ideal

Abstract

Let $f:A\to B$ be a ring homomorphism and $J$ be an ideal of $B$. In this paper, we investigate the transfer of Gaussian property to the amalgamation of $A$ with $B$ along $J$ with respect to $f$ (denoted by $A{\bowtie }^{f}J),$ introduced and studied by D'Anna, Finocchiaro and Fontana in 2009.

arXiv admin note: substantial text overlap with arXiv:1404.3793; text overlap with arXiv:1001.0472 by other authors

References in corpus (1)

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