Lie Derivations on Trivial Extension Algebras
Amir Hosein Mokhtari ; Fahimeh Moafian ; Hamid Reza Ebrahimi Vishki
Annales Mathematicae Silesianae, Tome 31 (2017), p. 141-153 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2017-01-01
EUDML-ID : urn:eudml:doc:288554 
@article{bwmeta1.element.doi-10_1515_amsil-2016-0017,
     author = {Amir Hosein Mokhtari and Fahimeh Moafian and Hamid Reza Ebrahimi Vishki},
     title = {Lie Derivations on Trivial Extension Algebras},
     journal = {Annales Mathematicae Silesianae},
     volume = {31},
     year = {2017},
     pages = {141-153},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0017}
}

Amir Hosein Mokhtari; Fahimeh Moafian; Hamid Reza Ebrahimi Vishki. Lie Derivations on Trivial Extension Algebras. Annales Mathematicae Silesianae, Tome 31 (2017) pp. 141-153. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0017/