Clean property in amalgamated algebras along an ideal

Yıl 2015, Cilt: 44 Sayı: 1, 41 - 49, 01.02.2015

Mohamed Chhiti Najib Mahdou Mohammed Tamekkante

Öz

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.

Anahtar Kelimeler

Amalgamated algebra along an ideal, (uniquely) clean rings, neat rings.

Kaynakça

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