On extended quasi-MV algebras

Authors

  • Mengmeng Liu School of Mathematics and Statistics, Shandong Normal University
  • Hongxing Liu School of Mathematics and Statistics, Shandong Normal University, 250014, Jinan, P. R. China

DOI:

https://doi.org/10.23755/rm.v41i0.680

Keywords:

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

Abstract

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.

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Published

2021-12-31

Issue

Vol. 41 (2021)

Section

Volume 41-2021

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