Hybrid Ideals of BCK/BCI-Algebras

Kyung-Tae Kang; Seok-Zun Song; Eun Hwan Roh; Young Bae Jun

doi:10.3390/axioms9030085

Axioms (Jul 2020)

Hybrid Ideals of BCK/BCI-Algebras

Kyung-Tae Kang,
Seok-Zun Song,
Eun Hwan Roh,
Young Bae Jun

Affiliations

Kyung-Tae Kang: Department of Mathematics, Jeju National University, Jeju 63243, Korea
Seok-Zun Song: Department of Mathematics, Jeju National University, Jeju 63243, Korea
Eun Hwan Roh: Department of Mathematics Education, Chinju National University of Education, Jinju 52673, Korea
Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

DOI: https://doi.org/10.3390/axioms9030085
Journal volume & issue: Vol. 9, no. 3
p. 85

Abstract

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The notion of hybrid ideals in B C K / B C I -algebras is introduced, and related properties are investigated. Characterizations of hybrid ideals are discussed. Relations between hybrid ideals and hybrid subalgebras are considered. Characterizations of hybrid ideals are considered. Based on a hybrid structure, properties of special sets are investigated, and conditions for the special sets to be ideals are displayed.

Published in Axioms

ISSN: 2075-1680 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/axioms

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