Lie Derivations on Trivial Extension Algebras

• Autorzy: Amir Hosein Mokhtari , Fahimeh Moafian , Hamid Reza Ebrahimi Vishki
• Języki publikacji: EN

Abstrakty

EN

In this paper we provide some conditions under which a Lie derivation on a trivial extension algebra is proper, that is, it can be expressed as a sum of a derivation and a center valued map vanishing at commutators. We then apply our results for triangular algebras. Some illuminating examples are also included. (original abstract)

Słowa kluczowe

EN

Mathematics; Algebra; Linear equation; Multi-equation models

PL

Matematyka; Algebra; Równania liniowe; Modele wielorównaniowe

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2017
• Tom: 31
• Strony: 141--153

Twórcy

autor

Amir Hosein Mokhtari

• Ferdowsi University of Mashhad, Iran

autor

Fahimeh Moafian

• Ferdowsi University of Mashhad, Iran

autor

Hamid Reza Ebrahimi Vishki

• Ferdowsi University of Mashhad, Iran

Bibliografia

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• Moafian F., Higher derivations on trivial extension algebras and triangular algebras, PhD Thesis, Ferdowsi University of Mashhad, 2015.
• Moafian F., Ebrahimi Vishki H.R., Lie higher derivations on triangular algebras revisited, Filomat 30 (2016), no. 12, 3187-3194.
• Mokhtari A.H., Ebrahimi Vishki H.R., More on Lie derivations of generalized matrix algebras, Preprint 2015, arXiv: 1505.02344v1.
• Wang Y., Lie n-derivations of unital algebras with idempotents, Linear Algebra Appl. 458 (2014), 512-525.
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Identyfikatory

DOI

10.1515/amsil-2016-0017