A STUDY ON BK – ALGEBRAS

Author Name: Dr. A. JAGANATHAN

Volume/Issue: 01/11

Country: India

DOI NO.: 08.2020-25662434 DOI Link: http://www.doi-ds.org/doilink/05.2021-52498964/UIJIR

Affiliation:

1. Assistant Professor, PG and Research Department Mathematics, Bishop Heber College (Affiliation to Bharathidasan University), Tiruchirappalli, Tamil Nadu, India

ABSTRACT

In this paper discuss and investigate a class of algebras which is related to several classes of algebras of interest such as BCIK-algebras and which seems to have rather nice properties without being excessively complicated otherwise. Furthermore, On B-algebra and quasi-groups, Quasi-groups and related system on algebras defined below demonstrates a rather interesting connection between B-algebras and groups. In this paper introduce combination of both BCIK/B-algebras define BK-algebra and its properties and also see the Commutative Derived BK-algebra.

Key words: BCIK-algebra, B-algebra, BK-algebra, Commutative, Derived algebra. 2010 Mathematics Subject Classification: 06F35, 03G25.