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CENTRALIZERS OF BCI-ALGEBRAS.
- Source :
-
Miskolc Mathematical Notes . 2021, Vol. 22 Issue 1, p407-425. 19p. - Publication Year :
- 2021
-
Abstract
- In this paper, the concept of the centralizer of a subset (an element) of a BCI-algebra by using commutators is given. The connection between commutative ideals with commutators are considered. Also the pseudo center of a BCI-algebra is defined and the relationships between center and pseudo center in BCI-algebras are discussed. Following the concept of the centralizer, we introduce C-closed subalgebras of a BCI-algebra and discuss some characteristics of these subalgebras. Finally, we define central ideal and derived ideal of a BCI-algebra and the relationship between central ideal, derived ideal and other ideals of BCI-algebras are investigated. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 22
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 150760908
- Full Text :
- https://doi.org/10.18514/MMN.2021.2632