On BO-algebras |
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Authors: | Chang Bum Kim Hee Sik Kim |
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Institution: | 1. Department of Mathematics, Kookmin University, Seoul, 136-702, Korea 2. Department of Mathematics Research Institute for Natural Sciences, Hanyang University, Seoul, 133-791, Korea
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Abstract: | In this paper, we introduce the notion of a BO-algebra, and we prove that every BO-algebra is 0-commutative, and we show that BO-algebras, 0-commutative B-algebras, BM-algebras, p-semisimple BCI-algebras and abelian groups are logically equivalent. |
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