The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UP-homomorphism

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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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ژورنال

عنوان ژورنال: Fundamental Journal of Mathematics and Applications

سال: 2018

ISSN: 2645-8845

DOI: 10.33401/fujma.407148