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Details for article 1 of 5 found articles
| Title: |
Algebraically closed noncommutative polynomial rings |
| Author: |
Smith, Kirby C. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 5 (1977) nr. 4 pages 331-346 |
| Year: |
1977 |
| Contents: |
Let R be a noncommutative polynomial ring over the division ring K where K has center F. Then R = K[x,σ,D]where σ is a monomorphism of K and D is a σ-derivaton K. R is called dimension finite if (K: Fσ)<∞ and (K: FD)<∞ where Fσ is the subfield of F fixed under σand FD is the subfied of F of D-constants. R is algebraically closed if every nonconstant polynomial in Rfactors completely into linear factors. The algebraically closed dimension finite polynomial rings are determined. s done by reducing the problem to two classes: skew polynomial rings and differential polynomial rings. Examples algebraically closed polynomial rings which are not dimensfinite are given. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 1 of 5 found articles
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