n-Fold filters of MTL-algebras

In this paper, we define n -fold EIMTL and n -fold IMTL -filters of MTL -algebras and investigate some relations between these filters and n -fold (positive) implicative filters, n -fold fantastic filters and n -fold obstinate filters of MTL -algebras. Also, we investigate under what conditions the...

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Bibliographic Details
Published inAfrika mathematica Vol. 25; no. 4; pp. 1165 - 1178
Main Authors Zahiri, O., Farahani, H.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2014
Subjects
Applications of Mathematics
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
Fold
filter
algebra
03G25
06F35
Fold (positive) implicative
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Summary:In this paper, we define n -fold EIMTL and n -fold IMTL -filters of MTL -algebras and investigate some relations between these filters and n -fold (positive) implicative filters, n -fold fantastic filters and n -fold obstinate filters of MTL -algebras. Also, we investigate under what conditions the n -fold implicative MTL -algebra is the n -fold positive implicative MTL -algebra.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-013-0184-0