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

2007/06/05 by A. Yu. Olshanskii, Olshanskii, A. Yu.
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.0706.0590

7 pages

arxiv created 2007/06/05 · arxiv updated 2009/12/01

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=I₁...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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