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Some Results on MV-Modules

Author

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  • Fereshteh Forouzesh

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

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.

Suggested Citation

  • Fereshteh Forouzesh, 2016. "Some Results on MV-Modules," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 251-263, November.
    • Handle: RePEc:wsi:nmncxx:v:12:y:2016:i:03:n:s1793005716500174
    DOI: 10.1142/S1793005716500174
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