On derivations of incline algebras. (English) Zbl 1195.16048

Alshehri, N. O.

Sci. Math. Jpn. 71, No. 3, 349-355 (2010).

Summary: We introduce the notion of derivation of incline algebras, and we prove some result on derivation of an incline and integral incline. Moreover, we show that if a derivation is nonzero on an integral incline \(K\), then it is nonzero on any nonzero ideal of \(K\).

MSC:

16Y60	Semirings
16W25	Derivations, actions of Lie algebras
16D25	Ideals in associative algebras

Keywords:

derivations; incline algebras; integral inclines; ideals