- Hacettepe Journal of Mathematics and Statistics
- Vol: 44 Issue: 1
- Clean property in amalgamated algebras along an ideal
Clean property in amalgamated algebras along an ideal
Authors : Mohamed Chhiti, Najib Mahdou, Mohammed Tamekkante
Pages : 41-49
View : 14 | Download : 5
Publication Date : 2015-02-01
Article Type : Research
Abstract :Let $f:A\rightarrow B$ be a be a ring homomorphism and let $J$ be an ideal of $B$. In this paper, we give a characterization for the amalgamation of $A$ with $B$ along $J$ with respect to $f$(denoted by $R$ $\bowtie^{f}$ $J$) to be (uniquely) clean.Keywords : Amalgamated algebra along an ideal, (uniquely) clean rings, neat rings.