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RESEARCH PRODUCT
On Codimension Growth of Finitely Generated Associative Algebras
Antonio GiambrunoMikhail Zaicevsubject
Discrete mathematicsMathematics(all)SequencePure mathematicsIntegerSimple (abstract algebra)General MathematicsCodimensionFinitely-generated abelian groupCharacterization (mathematics)Associative propertyMathematicsdescription
Abstract LetAbe a PI-algebra over a fieldF. We study the asymptotic behavior of the sequence of codimensionscn(A) ofA. We show that ifAis finitely generated overFthenInv(A)=limn→∞ c n (A) always exists and is an integer. We also obtain the following characterization of simple algebras:Ais finite dimensional central simple overFif and only ifInv(A)=dim=A.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-12-01 | Advances in Mathematics |