Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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DEFORMATIONS OF d/BCK-ALGEBRAS

  • Allen, Paul J. (Department of Mathematics University of Alabama) ;
  • Kim, Hee-Sik (Department of Mathematics Research Institute for Natural Science Hanyang University) ;
  • Neggers, Joseph (Department of Mathematics University of Alabama)
  • Received : 2009.07.02
  • Published : 2011.03.31
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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.

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References

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