The poset structure of positive implicative BCK-algebras
ISSN: |
1420-8911
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Source: |
Springer Online Journal Archives 1860-2000
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Topics: |
Mathematics
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Notes: |
Abstract Many algebraic structures can be characterized in terms of some order structure. Among them are lattices, semilattices, boolean algebras, and semi-boolean algebras. In this paper we show that a pBCK-algebra can be characterized in terms of two order relations, one of which also makes it an implicative BCK-algebra. One of these orders is the well-known order for the larger class of BCK-algebras; the other one is a new order we introduce here.
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Type of Medium: |
Electronic Resource
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URL: |