On Derivations and Generalized Derivations of Bitonic Algebras

Applicable Analysis and Discrete Mathematics

article

Yong Ho Yon¹  Şule Ayar Özbal² 

[1] Division of Information and Communication Convergence Engineering, Mokwon University;Faculty of Science and Letter, Department of Mathematics, Ya¸sar Universitesi

关键词: bitonic algebras;    commutative bitonic algebras;    (r;    l) and (l;    r)-derivations;    generalized (r;    l) and (l;    r)-derivations;    generalized derivations.;   

DOI  :  10.2298/AADM1801110Y

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

We introduce the notion of bitonic algebras as a generalization of dual BCCalgebras, and define the notion of (r,l)-derivations, (l,r)-derivations and generalized (r,l) and (l,r)-derivations on the bitonic algebras. Then we study theproperties of the derivations and the generalized derivations on the bitonicalgebras and the commutative bitonic algebras. Finally, we show that everygeneralized derivation of commutative bitonic algebras is a derivation.

【 授权许可】

Unknown