Centers in domains with quadratic growth
Agata Smoktunowicz
Open Mathematics, Tome 3 (2005), p. 644-653 / Harvested from The Polish Digital Mathematics Library
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Let F be a field, and let R be a finitely-generated F-algebra, which is a domain with quadratic growth. It is shown that either the center of R is a finitely-generated F-algebra or R satisfies a polynomial identity (is PI) or else R is algebraic over F. Let r ∈ R be not algebraic over F and let C be the centralizer of r. It is shown that either the quotient ring of C is a finitely-generated division algebra of Gelfand-Kirillov dimension 1 or R is PI.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:268849 
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     journal = {Open Mathematics},
     volume = {3},
     year = {2005},
     pages = {644-653},
     zbl = {1106.16023},
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Agata Smoktunowicz. Centers in domains with quadratic growth. Open Mathematics, Tome 3 (2005) pp. 644-653. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475624/

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