Filter theory of pseudo equality algebras

In this paper, we study the generating formula of filters in pseudo equality algebras, also we introduce prelinear pseudo equality algebras and divisible pseudo equality algebras, and then we investigate some characterizations of them. We focus on algebraic structures of the set F (X) of all filters...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2020-01, Vol.39 (1), p.475-487
Main Authors: Liu, Meng Ke, Xin, Xiao Long
Format: Article
Language:English
Subjects:
Algebra
Equality
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Summary:In this paper, we study the generating formula of filters in pseudo equality algebras, also we introduce prelinear pseudo equality algebras and divisible pseudo equality algebras, and then we investigate some characterizations of them. We focus on algebraic structures of the set F (X) of all filters in pseudo equality algebras and obtain that F (X) can form a Heyting algebra. Moreover, we give the notions of some types of filters ((positive) implicative filters, fantastic filters) in pseudo equality algebras and investigate their properties. Finally, we discuss the relations among these filters.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-191512