An analogue of the Magnus problem for associative algebras
| Data(s) |
01/12/2005
|
|---|---|
| Resumo |
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 $n$. |
| Identificador |
http://dx.doi.org/10.1007/s10958-005-0457-8 http://www.scopus.com/inward/record.url?scp=27844587315&partnerID=8YFLogxK |
| Idioma(s) |
eng |
| Direitos |
info:eu-repo/semantics/restrictedAccess |
| Fonte |
Iyudu , N , Dotsenko , V & Korytin , D 2005 , ' An analogue of the Magnus problem for associative algebras ' Journal of Mathematical Sciences , vol 131 , no. 6 , pp. 6023-6026 . DOI: 10.1007/s10958-005-0457-8 |
| Palavras-Chave | #/dk/atira/pure/subjectarea/asjc/2600 #Mathematics(all) |
| Tipo |
article |
