On Symmetric Left Bi-Derivations in BCI -Algebras

G. Muhiuddin, Abdullah M. Al-roqi, Young Bae Jun and Yilmaz Ceven

International Journal of Mathematics and Mathematical Sciences, 2013, vol. 2013, 1-6

Abstract:

The notion of symmetric left bi-derivation of a BCI -algebra X is introduced, and related properties are investigated. Some results on componentwise regular and d -regular symmetric left bi-derivations are obtained. Finally, characterizations of a p -semisimple BCI -algebra are explored, and it is proved that, in a p -semisimple BCI -algebra, F is a symmetric left bi-derivation if and only if it is a symmetric bi-derivation .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:238490

DOI: 10.1155/2013/238490

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