Geodesic
GK–DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS*
Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 253-256

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DOI

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).
DOI : 10.1017/S0017089508004667
Mots-clés : 16DXX, 16N60 
SMOKTUNOWICZ, AGATA. GK–DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS*. Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 253-256. doi: 10.1017/S0017089508004667
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     title = {GK{\textendash}DIMENSION {OF} {ALGEBRAS} {WITH} {MANY} {GENERIC} {RELATIONS*}},
     journal = {Glasgow mathematical journal},
     pages = {253--256},
     year = {2009},
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     doi = {10.1017/S0017089508004667},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004667/}
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