On ideals and congruences in BBG-algebras

Authors

  • Phansaporn Thamtan Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok
  • Suphawat Asawasamrit Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok
  • Elvin J. Moore Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok

Keywords:

BBG-algebras, congruences, ideals, quotient BBG-algebras

Abstract

In this paper, we define the notions of ideals and congruences on BBG-algebras and investigate some related properties. Moreover, we study the relation between ideals and congruences on commutative BBG-algebras. We define the quotient in commutative BBGalgebras induced by this relation and study its properties.

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Published

2017-06-01

Issue

Vol. 16 No. 1 (2017): vol. 16, No.1 [2017]

Section

Research Articles