Site logo
Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

HOMOGENEOUS IDEALS AND JACOBSON RADICAL

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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.

Subscribe to TheGufo Newsletter​