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Generalized Skew Derivations Implemented by Elementary Operators (CROSBI ID 199980)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Eremita, Daniel ; Gogić, Ilja ; Ilišević, Dijana Generalized Skew Derivations Implemented by Elementary Operators // Algebras and representation theory, 17 (2014), 3; 983-996. doi: 10.1007/s10468-013-9429-8

Podaci o odgovornosti

Eremita, Daniel ; Gogić, Ilja ; Ilišević, Dijana

engleski

Generalized Skew Derivations Implemented by Elementary Operators

Let R be a semiprime ring with the maximal right ring of quotients Q_mr. An additive map d : R \to Q_mr is called a generalized skew derivation if there exists a ring endomorphism \sigma : R \to R and a map \delta : R \to Q_mr such that d(xy)=\delta(x)y+\sigma(x)d(y) for all x, y \in R. If \sigma is surjective, we determine the structure of generalized skew derivations for which there exists a finite number of elements a_i, b_i \in Q_mr such that d(x) = a_1 x b_1 + ... + a_n x b_n for all x \in R.

(generalized) skew derivation ; elementary operator ; epimorphism ; semiprime ring ; maximal (right) ring of quotients

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Podaci o izdanju

17 (3)

2014.

983-996

objavljeno

1386-923X

1572-9079

10.1007/s10468-013-9429-8

Povezanost rada

Matematika

Poveznice
Indeksiranost