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GK–DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS
- Source :
- Smoktunowicz, A 2009, ' GK-DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS ', Glasgow Mathematical Journal, vol. 51, no. 02, pp. 253-256 . https://doi.org/10.1017/S0017089508004667
- Publication Year :
- 2009
- Publisher :
- Cambridge University Press (CUP), 2009.
-
Abstract
- We prove some results on algebras, satisfying many generic relations. As an application we show that there are Golod–Shafarevich algebras which cannot be homomorphically mapped onto infinite dimensional algebras with finite Gelfand–Kirillov dimension. This answers a question of Zelmanov (Some open problems in the theory of infinite dimensional algebras, J. Korean Math. Soc. 44(5) 2007, 1185–1195).
Details
- ISSN :
- 1469509X and 00170895
- Volume :
- 51
- Database :
- OpenAIRE
- Journal :
- Glasgow Mathematical Journal
- Accession number :
- edsair.doi.dedup.....c51c8dba6ad79f2b19def2ff29d6f1ba