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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 36, Issue 1, Pages 91 - 98 (February 2015)
http://dx.doi.org/10.17654/JPANTAFeb2015_091_098

A FRACTION STRUCTURE ON IMPLICATIVE BCK-ALGEBRAS

Olivier A. Heubo-Kwegna and Jean B. Nganou

Abstract:

We extend the construction of BCK-algebras of fractions as introduced in [4] by dropping the boundedness assumption. The localization of implicative BCK-algebras at prime ideals is discussed.

Keywords and phrases:

implicative BCK-algebras, BCK-algebras of fractions, local BCKâ€‘algebras.

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