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Fonction de Hilbert-Samuel dans les anneaux locaux réguliers non-commutatifs

Published online by Cambridge University Press:  18 May 2009

J. Alev
J. Alev
Affiliation:
Université De Paris, VI 4 Place Jussieu 75230 Paris Cedex 05, France
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En algèbre non-commutative, on dit qu'un anneau noethérien A est local si:

(i) le radical de Jacobson M de A est un idéal maximal,

(ii) ∩ Mn = (0),

(iii) A/M est artinien simple.

Dans [9], Walker definit un anneau local régulier comme un anneau local A dont le radical de Jacobson M est engendré par une A-suite centralisante x1; x2, …, xt, [4], et demontre alors que:

t = cldim A = Kdim A = rgldim A = pdAA/M.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 24 , Issue 1 , January 1983 , pp. 65 - 69
Copyright
Copyright © Glasgow Mathematical Journal Trust 1983

References

Références

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