Self injective property in amalgamated algebra along an ideal

2014/04/15 by Najib Mahdou, Mahdou, Najib, Moutu Abdou Salam Moutui +1
Mathematics · #16E05 #16E10 #16E30 #16E65 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:16E05 #msc:16E10 #msc:16E30 #msc:16E65

paper · pdf · doi:10.48550/arxiv.1404.3796

arXiv admin note: text overlap with arXiv:1001.0472 by other authors

arxiv created 2014/04/15 · arxiv updated 2014/04/16

Abstract

Let f: A→ 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.

Citations

• Properties of chains of prime ideals in an amalgamated algebra along an ideal

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