On extended quasi-MV algebras

oleh: Mengmeng Liu, Hongxing Liu

Format: Article
Diterbitkan: Accademia Piceno Aprutina dei Velati 2021-12-01

Deskripsi

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.