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Journal of Mathematical Sciences

, Volume 130, Issue 3, pp 4651–4664 | Cite as

On Identities and Varieties of Associative Algebras of Finite Type

  • S. K. Vasiliev
Article
  • 15 Downloads

Abstract

Varieties in which each finitely generated relatively free algebra is finitely defined are considered. A description of such varieties with identities is obtained, and a number of their structural properties are found. Bibliography: 7 titles.

Keywords

Structural Property Associative Algebra Finite Type Free Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

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    N. Bourbaki, Algebre, Chaps. IV and V.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • S. K. Vasiliev
    • 1
  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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