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HOMOGENEOUS IDEALS AND JACOBSON RADICAL

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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