摘要:

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 Fσis the subfield of F fixed under σand FDis 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.

ISSN:0092-7872    

DOI:10.1080/00927877708822175

出版商:Marcel Dekker, Inc.    

年代:1977

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927877708822176

出版商:Marcel Dekker, Inc.    

年代:1977

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927877708822177

出版商:Marcel Dekker, Inc.    

年代:1977

数据来源: Taylor

摘要:

The Bravais group of a reducible finite subgroup G ofis described in terms of the Bravais groups of irreducible constituent groups and connecting functions of G. A similar reduction is obtained for the centralizer of G, when no two irreducibleQ-constituents of the natural representations of G areQ-equivalent and for the normalizer of G when no twoQ-constituent groups of G areQ-equivalent. This paper can be considered as a continuation of “On Integral Groups I-III” by H Brown, J. Neubüser and H. Zassenhaus [2-4]

ISSN:0092-7872    

DOI:10.1080/00927877708822178

出版商:Marcel Dekker, Inc.    

年代:1977

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927877708822179

出版商:Marcel Dekker, Inc.    

年代:1977

数据来源: Taylor