A remark on Gelfand-Kirillov dimension-Reference-Cited by-同舟云学术

A remark on Gelfand-Kirillov dimension

Published:1998 Issue:2 Volume:126 Page:349-352
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Smith S.,Zhang James

Abstract

Let A A be a finitely generated non-PI Ore domain and Q Q the quotient division algebra of A A . If C C is the center of Q Q , then GKdim ⁡ C ≤ GKdim ⁡ A − 2 \operatorname {GKdim} C\leq \operatorname {GKdim} A-2 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-02/S0002-9939-98-04074-X/S0002-9939-98-04074-X.pdf

Reference8 articles.

1. [Be] G. M. Bergman, A note on growth functions of algebras and semigroups, mimeographed notes, University of California, Berkeley, 1978.

2. Über die Gelfand-Kirillov-Dimension;Borho, Walter;Math. Ann.,1976

3. Sur les corps liés aux algèbres enveloppantes des algèbres de Lie;Gelfand, I. M.;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1966

4. Research Notes in Mathematics;Krause, G. R.,1985

5. On the transcendence degree of group algebras of nilpotent groups;Lorenz, Martin;Glasgow Math. J.,1984

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