Title of article :
On block commutative groupoids
Author/Authors :
Seo ، Y. J. Department of Mathematics - Daejin University , Neggers ، J. Department of Mathematics - University of Alabama , Kim ، H.S. Department of Mathematics - Research Institute of Natural Sciences - Hanyang University
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
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras