- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Deformations of $d/BCK$-algebras Bull. Korean Math. Soc. 2011 Vol. 48, No. 2, 315-324 https://doi.org/10.4134/BKMS.2011.48.2.315Printed March 1, 2011 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 Downloads: Full-text PDF