Abstract
Since the introduction of the concepts of BCK and BCI algebras by K. Iseki in 1966, some
more systems of similar type have been introduced and studied by a number of authors in the last two decades.
K. H. Kim and Y. H. Yon studied dual BCK algebra and M.V.algebra in 2007. H. S. Kim and Y. H. Kim in
2006 have introduced the concept of BE-algebra as a generalization of dual BCK- algebra. Here we want to
present the different properties of homomorphism and multiplier maps on BE-algebra.
Key words: BCK-algebra, BCI-algebra, BE-algebra, homomorphism, multiplier maps.
Mathematics Subject Classification: 06F35, 03G25, 08A30, 03B52
AbstractSince the introduction of the concepts of BCK and BCI algebras by K. Iseki in 1966, somemore systems of similar type have been introduced and studied by a number of authors in the last two decades.K. H. Kim and Y. H. Yon studied dual BCK algebra and M.V.algebra in 2007. H. S. Kim and Y. H. Kim in2006 have introduced the concept of BE-algebra as a generalization of dual BCK- algebra. Here we want topresent the different properties of homomorphism and multiplier maps on BE-algebra.Key words: BCK-algebra, BCI-algebra, BE-algebra, homomorphism, multiplier maps.Mathematics Subject Classification: 06F35, 03G25, 08A30, 03B52
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