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Title: Radical of a relatively free associative algebra over fields of positive characteristic

Journal Article · · Sbornik. Mathematics
 [1]
  1. Ul'yanovsk State University, Ul'yanovsk (Russian Federation)

The following Kemer problem on the nilindex of the radical is solved: it is shown that the Jacobson radical of a relatively free associative algebra over an infinite field of positive characteristic is a nilideal of bounded index. A basis of the identities with forms for matrix algebras over infinite fields of positive characteristic is described. Bibliography: 10 titles.

OSTI ID:
21096776
Journal Information:
Sbornik. Mathematics, Vol. 199, Issue 5; Other Information: DOI: 10.1070/SM2008v199n05ABEH003940; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

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