Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

Tapan Senapati; Young Bae Jun; G. Muhiuddin; K. P. Shum

doi:10.2478/auom-2019-0028

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Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

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Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

Tapan Senapati, Young Bae Jun, G. Muhiuddin and K. P. Shum

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, Vol.27(2), pp.213-232

01/06/2019

DOI: https://doi.org/10.2478/auom-2019-0028

Abstract

03G25

06F35

94D05

closed cubic intuitionistic ideal

cubic intuitionistic

Cubic intuitionistic subalgebra

ideal

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.

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Title: Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras
Creators - without role: Tapan Senapati - Vidyasagar University
Young Bae Jun - Gyeongsang National University
G. Muhiuddin - University of Tabuk
K. P. Shum - Yunnan University
Publication Details: Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, Vol.27(2), pp.213-232
Publisher: Sciendo
Number of pages: 20
Identifiers: 9934040308331
Academic Unit: University of Tabuk
Language: English
Resource Type: Journal article