On BRK-algebras

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Abstract

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, medial of a BRK-algebra are introduced and studied their properties. We proved that the variety of all medial BRK-algebras is congruence permutable and showed that every associative BRK-algebra is a group. Copyright © 2012 Ravi Kumar Bandaru.

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Bandaru, R. K. (2012). On BRK-algebras. International Journal of Mathematics and Mathematical Sciences, 2012. https://doi.org/10.1155/2012/952654

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