Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

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

doi:10.2478/auom-2019-0028

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica (Jun 2019)

Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

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

Affiliations

Senapati Tapan: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore721102, India.
Jun Young Bae: Department of Mathematics Education, Gyeongsang National University, Jinju52828, Korea.
Muhiuddin G.: Department of Mathematics, University of Tabuk, Tabuk71491, Saudi Arabia.
Shum K. P.: Institute of Mathematics, Yunnan University, Kunming650091, People’s Republic of China.

DOI: https://doi.org/10.2478/auom-2019-0028
Journal volume & issue: Vol. 27, no. 2
pp. 213 – 232

Abstract

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In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals in BCI-algebras are introduced, and several related properties are investigated. Relations between cubic intuitionistic subalgebras, closed cubic intuitionistic ideals, cubic intuitionistic q-ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals are discussed. Conditions for a cubic intuitionistic ideal to be a cubic intuitionistic p-ideal are provided. Characterizations of a cubic intuitionistic a-ideal are considered. The cubic intuitionistic extension property for a cubic intuitionistic a-ideal is established.

Published in Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

ISSN: 1224-1784 (Print); 1844-0835 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://sciendo.com/journal/AUOM

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