Commun. Korean Math. Soc. 2022; 37(3): 649-658
Online first article October 13, 2021 Printed July 31, 2022
https://doi.org/10.4134/CKMS.c210236
Copyright © The Korean Mathematical Society.
Hee Sik Kim, Joseph Neggers, Young Joo Seo
Hanyang University; University of Alabama; Daejin University
In this paper, we introduce the notion of a left-almost-zero groupoid, and we generalize two axioms which play important roles in the theory of $BCK$-algebra using the notion of a projection. Moreover, we investigate a Smarandache disjointness of semi-leftoids.
Keywords: Left-almost-zero, semi-(neutral, leftoid), power associative, $BCK$-algebra, trace function, projection, Smarandache disjoint
MSC numbers: Primary 20N02, 06F35
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