Homogeneous ideals and Jacobson radical (Համասեռ իդեալները և Ջեկոբսոնի ռադիկալը)

Abstract

In this paper the Jacobson radical of an algebra FhXi/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 algebra FhXi. The following theorem is proved: the Jacobson radical of an algebra FhXi/H is a nil ideal.