derivations of up-algebras by means of up-endomorphisms
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abstract
the notion of $f$-derivations of up-algebras is introduced, some useful examples are discussed, and related properties are investigated. moreover, we show that the fixed set and the kernel of $f$-derivations are up-subalgebras of up-algebras,and also give examples to show that the two sets are not up-ideals of up-algebras in general.
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Derivations of UP-algebras by means of UP-endomorphisms
The notion of $f$-derivations of UP-algebras is introduced, some useful examples are discussed, and related properties are investigated. Moreover, we show that the fixed set and the kernel of $f$-derivations are UP-subalgebras of UP-algebras,and also give examples to show that the two sets are not UP-ideals of UP-algebras in general.
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Journal title:
algebraic structures and their applicationsجلد ۳، شماره ۲، صفحات ۱-۲۰
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