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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
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