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N-Fold Obstinate Ideals in MV-Algebras

Author

Listed:
  • F. Forouzesh

    (Faculty of Mathematics and Computing, Higher Education Complex of Bam, Kerman, Iran)

Abstract

In this paper, we introduce the notion of n-fold obstinate ideals of an MV-algebra and investigate the relations between the obstinate ideals and the other ideals of an MV-algebras and also we consider the quotient algebras induced by n-fold obstinate ideals and prove some related theorems. In addition, the extension theorem of n-fold obstinate ideals are obtained. Also, several characterizations of these n-fold ideals are given. Finally, we construct algorithm for studing the structure of the n-fold obstinate ideals in finite MV-algebras.

Suggested Citation

  • F. Forouzesh, 2016. "N-Fold Obstinate Ideals in MV-Algebras," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 265-275, November.
    • Handle: RePEc:wsi:nmncxx:v:12:y:2016:i:03:n:s1793005716500186
    DOI: 10.1142/S1793005716500186
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