N-Fold Obstinate Ideals in MV-Algebras

F. Forouzesh ()
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F. Forouzesh: Faculty of Mathematics and Computing, Higher Education Complex of Bam, Kerman, Iran

New Mathematics and Natural Computation (NMNC), 2016, vol. 12, issue 03, 265-275

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.

Keywords: MV-algebra; n-fold obstinate; n-fold Boolean ideal; semi-simple (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S1793005716500186

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