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Details for article 22 of 24 found articles
| Title: |
Some remarks on growth of algebras over commutative noetherian rings |
| Author: |
Beaulieu, R.A. Jensen, A. Jøndrup, S. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 24 (1996) nr. 2 pages 605-622 |
| Year: |
1996 |
| Contents: |
Using a growth function,GK defined for algebras over integral domains, we construct a generalization of Gelfand Kirillov dimensionGGK. GGK coincides with the classical no-tion of GK for algebras over a field, but is defined for algebras over arbitrary commutative rings. It is proved that GGK exceeds the Krull dimension for affine Noetherian PI algebras. The main result is that algebras of GGK at most one are PI for a large class of commutative Noetherian base rings including the ring of integers, Z. This extends the well-known result of Small, Stafford, and Warfield found in [11]. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 22 of 24 found articles
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