Journal of Mathematical Sciences

, Volume 131, Issue 6, pp 6023–6026 | Cite as

An Analogue of the Magnus Problem for Associative Algebras

  • V. Dotsenko
  • N. Iyudu
  • D. Korytin


We prove an analogue of the Magnus theorem for associative algebras without unity over arbitrary fields. Namely, if an algebra is given by n + k generators and k relations and has an n-element system of generators, then this algebra is a free algebra of rank n.


Associative Algebra Free Algebra Arbitrary Field 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • V. Dotsenko
    • 1
    • 2
  • N. Iyudu
    • 1
  • D. Korytin
    • 1
  1. 1.Moscow State UniversityMoscowRussia
  2. 2.Independent University of MoscowMoscowRussia

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