[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j170797

ON S-COHERENCE

Bennis, Driss (Centre de Recherche de Mathematiques et Applications de Rabat (CeReMAR) Faculty of Sciences Mohammed V University in Rabat)
El Hajoui, Mohammed (Centre de Recherche de Mathematiques et Applications de Rabat (CeReMAR) Faculty of Sciences Mohammed V University in Rabat)

Publication Information

Journal of the Korean Mathematical Society / v.55, no.6, 2018 , pp. 1499-1512 More about this Journal

Abstract

Recently, Anderson and Dumitrescu's S-finiteness has attracted the interest of several authors. In this paper, we introduce the notions of S-finitely presented modules and then of S-coherent rings which are S-versions of finitely presented modules and coherent rings, respectively. Among other results, we give an S-version of the classical Chase's characterization of coherent rings. We end the paper with a brief discussion on other S-versions of finitely presented modules and coherent rings. We prove that these last S-versions can be characterized in terms of localization.

Keywords

S-finite; S-finitely presented; S-coherent modules; S-coherence rings;

Citations & Related Records

Reference

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