An analogue of the Magnus problem for associative algebras

Natalia Iyudu, V. Dotsenko, D. Korytin

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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
Volume131
Issue number6
DOIs
Publication statusPublished - Dec 2005

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'An analogue of the Magnus problem for associative algebras'. Together they form a unique fingerprint.

Cite this