Open Access
may 2015 A class of special subsets of a $BCK$-algebra
Habib Harizavi
Bull. Belg. Math. Soc. Simon Stevin 22(2): 199-211 (may 2015). DOI: 10.36045/bbms/1432840858

Abstract

In this paper, we consider a class of special subsets of a $BCK$-algebra and investigate some related properties. We describe the intersection and union of two of these subsets in a commutative $BCK$-lattice. We consider the intersection of all special subsets in a $BCK$-algebra and investigate some related properties. Finally, we introduce the connection between the class of special subsets and the set of all congruence classes induced by an ideal in a $BCK$-algebra.

Citation

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Habib Harizavi. "A class of special subsets of a $BCK$-algebra." Bull. Belg. Math. Soc. Simon Stevin 22 (2) 199 - 211, may 2015. https://doi.org/10.36045/bbms/1432840858

Information

Published: may 2015
First available in Project Euclid: 28 May 2015

zbMATH: 1322.06017
MathSciNet: MR3351036
Digital Object Identifier: 10.36045/bbms/1432840858

Subjects:
Primary: 03G25 , 06F35

Keywords: $\vee $-closed , $BCK$-algebra , commutative $BCK$-lattice , down-set , ideal , prime-set

Rights: Copyright © 2015 The Belgian Mathematical Society

Vol.22 • No. 2 • may 2015
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