Self injective property in amalgamated algebra along an ideal

Najib Mahdou; Moutu Abdou Salam Moutui

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arXiv · 1404.3796

Self injective property in amalgamated algebra along an ideal

Najib Mahdou·Moutu Abdou Salam Moutui

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Abstract

Let $f: A\rightarrow B$ be a ring homomorphism and let $J$ be an ideal of $B$. In this paper, we investigate the transfer of self-injective property to the amalgamation of $A$ with $B$ along $J$ with respect to $f$ (denoted by $A\bowtie^fJ),$ introduced and studied by D'Anna, Finocchiaro and Fontana in 2009. We give also a characterization of $A\bowtie^fJ$ to be quasi-Frobenius.

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Najib Mahdou, Moutu Abdou Salam Moutui. 2014-04-15. Self injective property in amalgamated algebra along an ideal. https://arxiv.org/abs/1404.3796

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