A nonassociative ring which contains a well-known associative ring or left symmetric ring also known as Vinberg ring is of great interest. A method to construct Vinberg nonassociative ring is given; Vinberg nonassociative ring is shown as simple; all the derivations of nonassociative simple Vinberg algebra defined are determined; and finally in solid algebra it is shown that if is a nonzero endomorphism of , then is an epimorphism.
@article{31684,
title = {Derivation on Vinberg rings},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {37},
year = {2017},
doi = {10.5269/bspm.v37i3.31684},
language = {EN},
url = {http://dml.mathdoc.fr/item/31684}
}
Devi, Gangireddy Lakshmi; Jayalakshmi, Karamsi. Derivation on Vinberg rings. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i3.31684. http://gdmltest.u-ga.fr/item/31684/