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Pseudo-valuations on BCH-algebras with respect to subalgebras and (closed) ideals
- Jun, Young Bae;
- Ahn, Sun Shin
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0초록
The notion of pseudo-valuations (valuations) on a BCH-algebra is introduced by using the Busneag's model ([1, 2, 3]), and a pseudo-metric is induced by a pseudo-valuation on BCH-algebras. Conditions for a real-valued function to be an I-pseudo-valuation are provided. The fact that the binary operation in BCH-algebras is uniformly continuous is provided based on the notion of (pseudo) valuation.
키워드
S-pseudo-valuation; I-pseudo-valuation; CI-pseudo-valuation; (Positive) valuation; Pseudo-metric induced by pseudo-valuation
- 제목
- Pseudo-valuations on BCH-algebras with respect to subalgebras and (closed) ideals
- 저자
- Jun, Young Bae; Ahn, Sun Shin
- 발행일
- 2016-06-15
- 유형
- Article
- 권
- 20
- 호
- 7
- 페이지
- 1341 ~ 1351