Open AccessOn BRK-Algebras
Author(s) -
Ravikumar Bandaru
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/952654
Subject(s) - mathematics , congruence (geometry) , permutable prime , generalization , associative property , algebra over a field , pure mathematics , variety (cybernetics) , statistics , mathematical analysis , geometry
The notion of BRK-algebra is introduced which is a generalization of BCK/BCI/BCH/Q/QS/BM-algebras. The concepts of -part, -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
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