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arXiv · 0706.0590

On products of T-ideals in free algebras and free group algebras

A. Yu. Olshanskii
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Abstract

Let F be a field and A a free associative F-algebra or a group algebra of a free group with an infinite set X of generators. We find a necessary and sufficient condition for the inclusion I' into I, where I=I_1...I_k and I'=I'_1...I'_l are any products of T-ideals in A. A canonical reformulation in terms of products of group representation varieties answers a question posed in 1986

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A. Yu. Olshanskii. 2007-06-05. On products of T-ideals in free algebras and free group algebras. https://arxiv.org/abs/0706.0590

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