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Crossing cubic ideals of BCK/BCI-algebras
- Authors
- Jun, Y.B.; Song, S.Z.
- Issue Date
- Jan-2021
- Publisher
- University of Hatef
- Keywords
- (closed) crossing cubic ideal; 0-crossing cubic structure; Crossing cubic 0-subalgebra; translation
- Citation
- Journal of Algebraic Hyperstructures and Logical Algebras, v.2, no.1, pp 17 - 31
- Pages
- 15
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebraic Hyperstructures and Logical Algebras
- Volume
- 2
- Number
- 1
- Start Page
- 17
- End Page
- 31
- ISSN
- 2676-6019
- Abstract
- The notions of a crossing cubic ideal in a BCK/BCI-algebra, a closed crossing cubic ideal in a BCI-algebra, and a crossing cubic 0-subalgebra of a BCK-algebra with the condition (S) are introduced, and several properties are investigated. The relationship between them is established. Conditions for a crossing cubic structure to be a closed crossing cubic ideal are provided. Conditions under which crossing cubic ideals are closed are explored. Characterizations of crossing cubic ideals are discussed. The translation of crossing cubic subalgebras and crossing cubic ideals are studied. Conditions for the translation of a crossing cubic structure to be a crossing cubic subalgebra (ideal) are provided, and its characterization is established. © 2021, University of Hatef. All rights reserved.
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