Companion d-algebras |
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| Authors: | P. J. Allen Hee Sik Kim J. Neggers |
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| Affiliation: | (1) Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA;(2) Department of Mathematics, Hanyang University, Seoul, 133-791, Korea |
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| Abstract: | In this paper we develop a theory of companion d-algebras in sufficient detail to demonstrate considerable parallelism with the theory of BCK-algebras as well as obtaining a collection of results of a novel type. Included among the latter are results on certain natural posets associated with companion d-algebras as well as constructions on Bin(X), the collection of binary operations on the set X, which permit construction of new companion d-algebras from companion d-algebras X also in natural ways. Supported by Korea Research Foundation Grant (KRF-2002-041-C00003). |
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| Keywords: | BCK-algebra d/d*-algebra companion BCK/d-ideal ⊙ -subalgebra dsu condition complete transitivity pogroupoid |
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