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Semiring structures based on meet and plus ideals in lower BCK-semilattices
- Bordbar, Hashem;
- Ahn, Sun Shin;
- Zahedi, Mohammad Mehdi;
- Jun, Young Bae
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10초록
The notion of the meet set based on two subsets of a lower BCK-semilattice X is introduced, and related properties are investigated. Conditions for the meet set to be a (positive implicative; commutative, implicative) ideal are discussed. The meet ideal based on subsets, and the plus ideal of two subsets in a lower BCK-semilattice X are also introduced, and related properties are investigated. Using meet operation and addition, the semiring structure is induced.
키워드
Lower BCK-semilattice; meet set; meet ideal; plus ideal; meet operation; addition; semiring
- 제목
- Semiring structures based on meet and plus ideals in lower BCK-semilattices
- 저자
- Bordbar, Hashem; Ahn, Sun Shin; Zahedi, Mohammad Mehdi; Jun, Young Bae
- 발행일
- 2017-10-30
- 유형
- Article
- 권
- 23
- 호
- 5
- 페이지
- 945 ~ 954