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ON DIRECT SUMS IN BOUNDED BCK-ALGEBRAS
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 Title & Authors
ON DIRECT SUMS IN BOUNDED BCK-ALGEBRAS
HUANG YISHENG;
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 Abstract
In this paper we consider the decompositions of subdirect sums and direct sums in bounded BCK-algebras. The main results are as follows. Given a bounded BCK-algebra X, if X can be decomposed as the subdirect sum of a nonzero ideal family of X, then I is finite, every is bounded, and X is embeddable in the direct sum ; if X is with condition (S), then it can be decomposed as the subdirect sum if and only if it can be decomposed as the direct sum ; if X can be decomposed as the direct sum , then it is isomorphic to the direct product .
 Keywords
bounded BCK-algebra;ideal;subdirect sum;direct sum;direct product;
 Language
English
 Cited by
 References
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