HOMOGENEOUS IDEALS AND JACOBSON RADICAL

Authors

  • N.G. Najaryan Chair of Higher Mathematics of Radiophysics Faculty, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2017.51.2.193

Keywords:

free algebra, Jacobson radical, T-ideal, homogeneous ideal, nil ideal

Abstract

In this paper the Jacobson radical of an algebra$F\langle X\rangle / H$ is studied, where FhXi is a free associative algebra of countable rank over infinite field $F$ and $H$ is a homogeneous ideal of the algebr$F\langle X\rangle$. The following theorem is proved: the Jacobson radical of an algebra $F\langle X\rangle / H$ is a nil ideal.

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Published

2017-06-15

How to Cite

Najaryan, N. (2017). HOMOGENEOUS IDEALS AND JACOBSON RADICAL. Proceedings of the YSU A: Physical and Mathematical Sciences, 51(2 (243), 193–195. https://doi.org/10.46991/PYSU:A/2017.51.2.193

Issue

Section

Short Communications