Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2011; 48(2): 315-324

Printed March 1, 2011

https://doi.org/10.4134/BKMS.2011.48.2.315

Copyright © The Korean Mathematical Society.

Deformations of $d/BCK$-algebras

Paul J. Allen, Hee Sik Kim, and Joseph Neggers

University of Alabama, Hanyang University, University of Alabama

Abstract

In this paper, we study the effects of a deformation mapping on the resulting deformation $d/BCK$-algebra obtained via such a deformation mapping. Besides providing a method of constructing $d$-algebras from $BCK$-algebras, it also highlights the special properties of the standard $BCK$-algebras of posets as opposed to the properties of the class of divisible $d/BCK$-algebras which appear to be of interest and which form a new class of $d/BCK$-algebras insofar as its not having been identified before.

Keywords: $d/BCK$-algebra, deformation (function, point), rigid, invariant

MSC numbers: 06F35