Derivation on Vinberg rings

Authors

  • Gangireddy Lakshmi Devi Jawaharlal Nehru Technological University Government College(Autonomous) Department of Mathematics
  • Karamsi Jayalakshmi Jawaharlal Nehru Technological University Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v37i3.31684

Keywords:

Nonassociative ring, simple, Vinberg ring, derivation, solid algebra

Abstract

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.

Author Biographies

  • Gangireddy Lakshmi Devi, Jawaharlal Nehru Technological University Government College(Autonomous) Department of Mathematics
    Mathematics
  • Karamsi Jayalakshmi, Jawaharlal Nehru Technological University Department of Mathematics
    Mathematics

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Published

2017-09-23

Issue

Vol. 37 No. 3 (2019)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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