General Implicativity in Groupoids

Feng Feng, Hee Sik Kim and Joseph Neggers
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Feng Feng: Department of Applied Mathematics, School of Science, Xi’an University of Posts and Telecommunications, Xi’an 710121, China
Hee Sik Kim: Department of Mathematics, Research Institute of Natural Sciences, Hanyang University, Seoul 04763, Korea
Joseph Neggers: Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA

Mathematics, 2018, vol. 6, issue 11, 1-8

Abstract: There are several equivalent axioms, which can be used to characterize the positive implicativity in B C K -algebras. In this paper, we investigate interrelationships among such axioms in a more general setting of groupoids, and several aspects regarding their differences in the theory of groupoids.

Keywords: groupoid; d -algebra; BCK -algebra; (positive, central, meet, quasi) implicativity; leftoid; rightoid; (selective, medial) groupoid (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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