Weakly Laskerian rings versus Noetherian rings

2016/09/28 by Kamal Bahmanpour, Bahmanpour, Kamal, Kamran Divaani-Aazar +1
Mathematics · #13B22 #13B25 #13E05 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13B22 #msc:13B25 #msc:13E05

paper · pdf · doi:10.48550/arxiv.1609.09034

It will be published in the Rendiconti del Seminario Matematico della Università di Padova

arxiv created 2016/09/28 · arxiv updated 2016/09/29

Abstract

Let R be a commutative ring with identity. We investigate some ring-theoretic properties of weakly Laskerian R-modules. Our results indicate that weakly Laskerian rings behave as Noetherian ones in many respects. However, we provide some examples to illustrate the strange behavior of these rings in some other respects.

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