2017; Physical and Mathematical Sciences, 51(2 (243): 193–195
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HOMOGENEOUS IDEALS AND JACOBSON RADICAL

Najaryan Najaryan*

Received: 2025-02-06 · Published: 2017-06-15

© 2017 The Author(s) and the original publisher.

CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
HOMOGENEOUS IDEALS AND JACOBSON RADICAL
Author
Najaryan Najaryan
Published
2017-06-15
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2017.51.2.193

Abstract

In this paper the Jacobson radical of an algebraF⟨X⟩/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 algebrF⟨X⟩. The following theorem is proved: the Jacobson radical of an algebra F⟨X⟩/H is a nil ideal.
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