On BO-algebras

On BO-algebras

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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Veröffentlicht in:Mathematica Slovaca 2012-10, Vol.62 (5), p.855-864
Hauptverfasser: Kim, Chang Bum, Kim, Hee Sik
Format: Artikel
Sprache:eng
Schlagworte:
0-commutative
Algebra
B-algebra
BM-algebra
BO-algebra
Mathematics
Mathematics and Statistics
Primary 06F35
Regular Papers
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Beschreibung
Zusammenfassung: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.
ISSN:0139-9918
1337-2211
DOI:10.2478/s12175-012-0050-9