文章基本信息

标题：On Symmetric Left Bi-Derivations in <i>BCI</i>-Algebras
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作者：G. Muhiuddin ; Abdullah M. Al-roqi ; Young Bae Jun 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2013
卷号：2013
DOI：10.1155/2013/238490
出版社：Hindawi Publishing Corporation
摘要：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.