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On derivations of incline algebras. (English) Zbl 1195.16048
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
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