ON POSITIVE IMPLICATIVE FILTERS IN BE-ALGEBRAS
نویسندگان
چکیده
منابع مشابه
On Fuzzy Positive Implicative Filters in BE-Algebras
We study several degrees in defining a fuzzy positive implicative filter, which is a generalization of a fuzzy filter in BE-algebras.
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The notion of n-fold positive implicative filter in a lattice implication algebra is introduced, and related properties are investigated. Relations among a filter, an n-fold implicative filter and an n-fold positive implicative filter are stated. Characterizations of n-fold positive implicative filter are given, and the extension property for n-fold positive implicative filter is established.
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We introduce the notion of positive implicative ordered filters in implicative semigroups. We show that every positive implicative ordered filter is both an ordered filter and an implicative ordered filter. We give examples that an ordered filter (an implicative ordered filter) may not be a positive implicative ordered filter. We also give equivalent conditions of positive implicative ordered f...
متن کاملPositive Implicative-Artinian and Positive Implicative Noetherian Hyper Bck-Algebras
The notion of intuitionistic fuzzy positive implicative hyper BCK-ideals of type-1, 2... 8 of hyper BCK-algebras was introduced in 2012 by Durga Prasad, Satyanarayana and Ramesh. In this paper, we investigate some related properties of intuitionistic fuzzy positive implicative hyper BCK-ideals of types-1. We characterize positive implicative Artinian (shortly, PI-Artinian) hyper BCK-algebras of...
متن کاملPositive Implicative Pseudo-Valuations on BCK-Algebras
The notion of a positive implicative pseudo-valuation on a BCKalgebra is introduced, and its characterizations are investigated. The relationship between a pseudo-valuation and a positive implicative pseudovaluation is examined. Reduction property for a positive implicative pseudo-valuation is established. Mathematics Subject Classification: 06F35, 03G25
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ژورنال
عنوان ژورنال: Journal of the Chungcheong Mathematical Society
سال: 2014
ISSN: 1226-3524
DOI: 10.14403/jcms.2014.27.3.419