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November 2019 Int-soft Implicative hyper $BCK$-ideals in hyper $BCK$-algebras
Rajab Ali Borzooei, Xiao Long Xin, Eun Hwan Roh, Young Bae Jun
Missouri J. Math. Sci. 31(2): 152-163 (November 2019). DOI: 10.35834/2019/3102152

Abstract

The notion of an int-soft (weak) implicative hyper BCK-ideal is introduced, and related properties are investigated. Relations between an int-soft weak implicative hyper BCK-ideal, an int-soft implicative hyper BCK-ideal, an int-soft hyper BCK-ideal, and an int-soft strong hyper BCK-ideal are considered, and characterizations of an int-soft weak implicative hyper BCK-ideal are discussed. Conditions for an int-soft hyper BCK-ideal to be an int-soft weak implicative hyper BCK-ideal are provided. Using an int-soft weak implicative hyper BCK-ideal, a new int-soft weak implicative hyper BCK-ideal is established. Finally, we show the hyper homomorphic preimage of an int-soft implicative hyper BCK-ideal is also an int-soft implicative hyper BCK-ideal.

Citation

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Rajab Ali Borzooei. Xiao Long Xin. Eun Hwan Roh. Young Bae Jun. "Int-soft Implicative hyper $BCK$-ideals in hyper $BCK$-algebras." Missouri J. Math. Sci. 31 (2) 152 - 163, November 2019. https://doi.org/10.35834/2019/3102152

Information

Published: November 2019
First available in Project Euclid: 16 November 2019

zbMATH: 07276123
MathSciNet: MR4032193
Digital Object Identifier: 10.35834/2019/3102152

Subjects:
Primary: 06F35
Secondary: 03G25, 06D72

Rights: Copyright © 2019 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.31 • No. 2 • November 2019
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