On block commutative groupoids

Author(s):

Y. J. Seo , J. Neggers , H.S. Kim *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we introduce the notion of a block commutativity in several groupoids, and show that the class of block commutative groupoids and the class of d/BCK-algebras are Smarandache disjoint. The block commutativity in linear/quadratic groupoids is investigated, and we prove that every group is a normal groupoid. Moreover, we discuss block n-commutative groupoids and block ranks.

Keywords:

Block commutative , d , BCK-algebra , Smarandache disjoint , block center , normal , block n-commutative , block rank

Language:
English
Published:
Journal of Algebraic Hyperstructures and Logical Algebras, Volume:2 Issue: 4, Autumn 2021
Pages:
13 to 23
https://www.magiran.com/p2401541