An analogue of the Magnus problem for associative algebras

Natalia Iyudu, V. Dotsenko, D. Korytin

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1 Citation (Scopus)


We prove an analogue of 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 $n$.
Original languageEnglish
Pages (from-to)6023-6026
Number of pages4
JournalJournal of Mathematical Sciences
Issue number6
Publication statusPublished - Dec 2005

ASJC Scopus subject areas

  • General Mathematics


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