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BCK-part and generalized associative BCI-part of BCI-algebras. (Chinese. English summary) Zbl 0643.03047

Summary: We introduce the concept of generalized associative BCI-part of BCI- algebras, thus we obtain the following results. i) Let X be a BCI- algebra, B and G BCK-part and generalized associative BCI-part of X respectively, then X/B is isomorphic to G. ii) Let X be a BCI-algebra, B and G is BCK-part and generalized associative BCI-part of X respectively, if G is also an ideal of X, then X/G\(\cong B\).

MSC:

03G25 Other algebras related to logic
06F99 Ordered structures
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