Open AccessDerivation on Vinberg rings
Author(s) -
Gangireddy Lakshmi Devi,
K. Jayalakshmi
Publication year - 2017
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v37i3.31684
Subject(s) - ring (chemistry) , endomorphism , mathematics , algebra over a field , epimorphism , simple (philosophy) , endomorphism ring , pure mathematics , chemistry , philosophy , epistemology , organic chemistry
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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