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COMMUTATIVE TRUE-FALSE IDEALS IN BCI/BCK-ALGEBRAS
- Takallo, Mohammad Mohseni;
- Borzooei, Rajab Ali;
- Kologani, Mona Aaly;
- Jun, Yang Bae
Citations
SCOPUS
1초록
The notion of a (limited) commutative T&F-ideal in BCK-algebras and BCI-algebras is introduced, and their properties are investigated. A relationship between a T&Fideal and a commutative T&F-ideal in BCK-algebras and BCI-algebras is established, and examples to show that any T&F-ideal may not be commutative are given. Proper conditions for a T&F-ideal to be commutative are provided. Using a commutative ideal of a BCK-algebra and a BCI-algebra, a commutative T&F-ideal is established. The closed T&F-ideal in a BCI-algebra is introduced, and a condition for a closed T&F-ideal to be commutative is discussed. Characterization of a commutative T&F-ideal in a BCI-algebra is considered. © 2023 Yazd University.
키워드
(limited) Commutative T&F-ideal; (limited) T&F-ideal; (limited) T&F-subalgebra; Closed T&F-ideal; T&F-◦-subalgebra; True-False structure
- 제목
- COMMUTATIVE TRUE-FALSE IDEALS IN BCI/BCK-ALGEBRAS
- 저자
- Takallo, Mohammad Mohseni; Borzooei, Rajab Ali; Kologani, Mona Aaly; Jun, Yang Bae
- 발행일
- 2023-08
- 유형
- Article
- 권
- 10
- 호
- 2
- 페이지
- 155 ~ 172
- 언어
- ENG
- 출판사
- Yazd University
- 발행국가
- 이란
- 분량
- 18 페이지
- ISSN
- E 2423-3447
P 2423-3447