Geodesic
Identities with Multiplicative Generalized $(\alpha,\alpha)$-derivations of Semiprime Rings
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 365 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let $R$ be a semiprime ring and $\alpha$ be an automorphism of $R.$ A mapping $F:R\to R$ (not necessarily additive) is called multiplicative generalized $(\alpha,\alpha)$-derivation if there exists a unique $(\alpha,\alpha)$-derivation $d$ of $R$ such that $F(xy)=F(x)\alpha(y)+\alpha(x)d(y)$ for all $x,y\in R.$ In the present paper, we intend to study several algebraic identities involving multiplicative generalized $(\alpha,\alpha)$-derivations on appropriate subsets of semiprime rings and collect the information about the commutative structure of these rings.
DOI : 10.46793/KgJMat2403.365S
Classification : 16W25, 16N60, 16U80
Keywords: semiprime ring, multiplicative generalized $(\alpha;\alpha)$-derivation, $(\alpha;\alpha)$-derivation, automorphism 
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     author = {Gurninder Singh Sandhu and Ayse Ayran and Neset Aydin and Department of Mathematics and \c{C}anakkale Onsekiz Mart University and \c{C}anakkale  and Turkey },
     title = {Identities with {Multiplicative} {Generalized} $(\alpha,\alpha)$-derivations of {Semiprime} {Rings}},
     journal = {Kragujevac Journal of Mathematics},
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Gurninder Singh Sandhu; Ayse Ayran; Neset Aydin; Department of Mathematics; Çanakkale Onsekiz Mart University; Çanakkale ; Turkey . Identities with Multiplicative Generalized $(\alpha,\alpha)$-derivations of Semiprime Rings. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 365 . doi : 10.46793/KgJMat2403.365S. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2403.365S/

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