| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4597212 | Journal of Pure and Applied Algebra | 2009 | 5 Pages |
Abstract
Let FF be a field and AA a free associative FF-algebra or a group algebra of a free group with an infinite set XX of generators. We find a necessary and sufficient condition for the inclusion I′⊆II′⊆I, where I=I1…IkI=I1…Ik and I′=I1′…Il′ are any products of TT-ideals in AA. A canonical reformulation in terms of products of varieties of representations of groups answers a question posed in 1986 [A.Yu. Olshanskii, An addition to the Neumanns–Shmel’kin theorem, Matem., Mekhan. Vestnik Moskovskogo Universiteta 6 (1986) 61–64 (in Russian)].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexander Yu. Olshanskii,