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Semiring structures based on meet and plus ideals in lower BCK-semilattices
- Issue Date
- 30-Oct-2017
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Lower BCK-semilattice; meet set; meet ideal; plus ideal; meet operation; addition; semiring
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.23, no.5, pp 945 - 954
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 23
- Number
- 5
- Start Page
- 945
- End Page
- 954
- ISSN
- 1521-1398
1572-9206
- Abstract
- 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.
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Collections - College of Education > Department of Mathematics Education > 1. Journal Articles
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)