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

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

2007-06-05

arxiv.org/abs/0706.0590v1

Mathematics

Rings and Algebras

7 pages

Scientific paper

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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