Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
BCK-ALGEBRAS OF FRACTIONS
R. A. BORZOOEI, J. SHOHANI
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Keywords: BCK-algebras of fractions, BCK-modules of fractions, bounded implicative BCKalgebra(Boolean algebras)
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2010 Volume 72 Issue 3 Pages 265-276

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Abstract
In this paper, by considering the notion of a ∧-closed set in BCK-algebras, we construct the fractions of BCK-algebras and prove some related results. Moreover, we study the notion of a BCK-module and prove that any BCK-algebra is a BCK-module on itself. Finally, we construct the fractions of BCK-modules.
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© 2010 International Society for Mathematical Sciences
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