Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic -ideals and cubic intuitionistic -ideals in -algebras are introduced, and several related properties are investigated. Relations between cubic intuitionistic subalgebras, closed cubic intuitionistic ideals, cubic i...

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Published inAnalele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică Vol. 27; no. 2; pp. 213 - 232
Main Authors Senapati, Tapan, Jun, Young Bae, Muhiuddin, G., Shum, K. P.
Format Journal Article
LanguageEnglish
Published Sciendo 01.06.2019
Subjects
03G25
06F35
94D05
closed cubic intuitionistic ideal
cubic intuitionistic
cubic intuitionistic a-ideal
cubic intuitionistic p-ideal
cubic intuitionistic q-ideal
Cubic intuitionistic subalgebra
ideal
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Summary:In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic -ideals and cubic intuitionistic -ideals in -algebras are introduced, and several related properties are investigated. Relations between cubic intuitionistic subalgebras, closed cubic intuitionistic ideals, cubic intuitionistic -ideals, cubic intuitionistic -ideals and cubic intuitionistic -ideals are discussed. Conditions for a cubic intuitionistic ideal to be a cubic intuitionistic -ideal are provided. Characterizations of a cubic intuitionistic -ideal are considered. The cubic intuitionistic extension property for a cubic intuitionistic -ideal is established.
ISSN:1844-0835
1844-0835
DOI:10.2478/auom-2019-0028