Diassociative algebras and their derivations

International Conference on Quantum Optics and Quantum Information 2013

Rikhsiboev, I.M.^1 ; Rakhimov, I.S.^2 ; Basri, W.^2

Universiti Kuala Lumpur, Malaysian Institute of Industrial Technology, Bandar Seri Alam, Johor Bahru

81750, Malaysia^1

Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang, Selangor Darul Ehsan

43400, Malaysia^2

关键词: Multiplication operators;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/553/1/012006/pdf
DOI  :  10.1088/1742-6596/553/1/012006

来源: IOP

【 摘 要 】

The paper concerns the derivations of diassociative algebras. We introduce one important class of diassociative algebras, give simple properties of the right and left multiplication operators in diassociative algebras. Then we describe the derivations of complex diassociative algebras in dimension two and three.