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On hyper BCC-algebras. (English) Zbl 1130.06010

Summary: We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationships among them. Next, we calculate all nonisomorphic 22 hyper BCC-algebras of order 3, of which only three are not hyper BCK-algebras.

MSC:

06F35 BCK-algebras, BCI-algebras
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References:

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