Abstract
In this paper, as a generalization of derivation of a $B$-algebra, we introduce the notion of $f$-derivation and $(f,g)$-derivation of a $B$-algebra. Also, some properties of $(f,g)$-derivation of commutative $B$-algebra are investigated.
Keywords: Commutative $B$-algebra; $f$-derivation; $(f,g)$-derivation.
MSC: 06F35, 16B70, 16W25
Pages: 125--132
Volume 66 , Issue 2 , 2014
Published by Društvo matematičara Srbije Kneza Mihaila 35/IV, P.O.B. 355, 11000 Belgrade, Serbia E-mail: drustvomatematicara(at)yahoo.com Fax: +381 11 3036 819 ISSN 2406-0682 (Online), ISSN 0025–5165 (Print)