On Symmetric Left Bi-Derivations inBCI-Algebras | Zendy

G. Muhiuddin | Zendy; Abdullah M. Al-roqi | Zendy; Young Bae Jun | Zendy; Yılmaz Çeven | Zendy

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On Symmetric Left Bi-Derivations inBCI-Algebras

Author(s) -

G. Muhiuddin,

Abdullah M. Al-roqi,

Young Bae Jun,

Yılmaz Çeven

Publication year - 2013

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 - 10.1155/2013/238490

Subject(s) - mathematics , brain–computer interface , algebra over a field , pure mathematics , electroencephalography , psychology , psychiatry

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

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