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A Finite Type of Closure Operations on BCK-algebras |
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PP: 69-77 |
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doi:10.18576/amisl/040204
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Author(s) |
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Hashem Bordbar,
Mohammad Mehdi Zahedi,
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Abstract |
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| In this article we study the (fi nite-type, cl-closed) closure operations on ideals of a BCK-algebra,
with an emphasis on structural properties. Also we give several theorems that make diff erent closure
operations, especially on a quotient and Noetherian BCK-algebra. In particular, we show that the
intersection and union (by imposing some additional conditions) of closure operations is a closure
operation and every closure operation is a fi nite type on any finitely generated ideal. Moreover by
given the notions of residuated quotient ideals and the meet of two ideals, we conclude some related
results. |
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