On extended quasi-MV algebras

Mengmeng Liu, Hongxing Liu


In this paper, we introduce a new algebraic structure called extended quasi-MV algebras, which are generalizations of quasi-MV algebras. The notions of ideals, ideal congruences and filters in Equasi-MV algebras were introduced and their mutual relationships were investigated. There is a bijection between the set of all ideals and the set of all ideal congruences on an Equasi-MV algebra.


Equasi-MV algebras; Quasi-MV algebras; Idempotent elements; Ideal congruences; Filters

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DOI: http://dx.doi.org/10.23755/rm.v41i0.680


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