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On BRK-algebras - MaRDI portal

On BRK-algebras (Q417275)

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scientific article; zbMATH DE number 6034296
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On BRK-algebras
scientific article; zbMATH DE number 6034296

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    On BRK-algebras (English)
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    14 May 2012
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    Summary: The notion of BRK-algebra is introduced which is a generalization of BCK/BCI/BCH/Q/QS/BM-algebras. The concepts of \(G\)-part, \(p\)-radical, and medial of a BRK-algebra are introduced and their properties studied. We prove that the variety of all medial BRK-algebras is congruence-permutable and show that every associative BRK-algebra is a group.
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