Radical of a relatively free associative algebra over fields of positive characteristic
Abstract
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.
- Authors:
-
- Ul'yanovsk State University, Ul'yanovsk (Russian Federation)
- Publication Date:
- OSTI Identifier:
- 21096776
- Resource Type:
- Journal Article
- Journal Name:
- Sbornik. Mathematics
- Additional Journal Information:
- Journal Volume: 199; Journal Issue: 5; Other Information: DOI: 10.1070/SM2008v199n05ABEH003940; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; INDEXES; MATHEMATICAL LOGIC; MATRICES
Citation Formats
Samoilov, L M. Radical of a relatively free associative algebra over fields of positive characteristic. United States: N. p., 2008.
Web. doi:10.1070/SM2008V199N05ABEH003940; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Samoilov, L M. Radical of a relatively free associative algebra over fields of positive characteristic. United States. https://doi.org/10.1070/SM2008V199N05ABEH003940; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)
Samoilov, L M. 2008.
"Radical of a relatively free associative algebra over fields of positive characteristic". United States. https://doi.org/10.1070/SM2008V199N05ABEH003940; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21096776,
title = {Radical of a relatively free associative algebra over fields of positive characteristic},
author = {Samoilov, L M},
abstractNote = {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.},
doi = {10.1070/SM2008V199N05ABEH003940; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
url = {https://www.osti.gov/biblio/21096776},
journal = {Sbornik. Mathematics},
issn = {1064-5616},
number = 5,
volume = 199,
place = {United States},
year = {Mon Jun 30 00:00:00 EDT 2008},
month = {Mon Jun 30 00:00:00 EDT 2008}
}
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