Derivation on Vinberg rings
DOI :
https://doi.org/10.5269/bspm.v37i3.31684Mots-clés :
Nonassociative ring, simple, Vinberg ring, derivation, solid algebraRésumé
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.
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2017-09-23
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Research Articles
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