Applications of Commutators in Pseudo BL-Algebras

Ardavan Najafi; Arsham  Borumand Saeid

doi:10.18778/0138-0680.2026.13

Authors

Ardavan Najafi Islamic Azad University, Department of Mathematics Author https://orcid.org/0000-0003-3754-651X
Arsham Borumand Saeid Saveetha Institute of Medical and Technical Sciences (SIMATS), Saveetha School of Engineering; Shahid Bahonar University of Kerman, Department of Pure Mathematics Author https://orcid.org/0000-0001-9495-6027

DOI:

https://doi.org/10.18778/0138-0680.2026.13

Keywords:

pseudo BL-algebra, commutativity relation, commutator, solvable, Engel element

Abstract

In this paper, the concepts of commutativity relation, commutant of a subset, center and solvable pseudo BL-algebras are defined and their properties are investigated. The notion of n-Engel pseudo BL-algebras as a natural generalization of BL-algebras is introduced, and we discuss Engel pseudo BL-algebra, which is defined by left and right normed commutators.

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