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Some Results on MV-Modules

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.