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Pregled bibliografske jedinice broj: 667397

Generalized Skew Derivations Implemented by Elementary Operators


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 (međunarodna recenzija, članak, znanstveni)


Naslov
Generalized Skew Derivations Implemented by Elementary Operators

Autori
Eremita, Daniel ; Gogić, Ilja ; Ilišević, Dijana

Izvornik
Algebras and representation theory (1386-923X) 17 (2014), 3; 983-996

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372784-2753 - Hilbertovi C*-moduli (Boris Guljaš, )
037-0372784-2757 - Preslikavanja na modulima nad prstenima, apstraktnim i operatorskim algebrama (Dijana Ilišević, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet


Citati