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Some Results on MV-Modules

Fereshteh Forouzesh ()
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Fereshteh Forouzesh: Department of Mathematics, Higher Education Complex of Bam, Kerman, Iran

New Mathematics and Natural Computation (NMNC), 2016, vol. 12, issue 03, 251-263

Abstract: In this paper, we study the notion of MV-modules over PMV-algebras of fractions relative to a ⋅-closed system and investigate some of their properties. Also, we define the notions of Noetherian and Artinian MV-modules over PMV-algebras and we state some equivalent definitions of Noetherian and Artinian MV-modules. In addition, we study the Noetherian and Artinian over product of two MV-modules.

Keywords: MV-module of fraction; ⋅-closed system; (Noetherian; Artinian)-MV-module (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S1793005716500174

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