Representation of rings over skew fields / A.H. Schofield.
Material type: TextSeries: London Mathematical Society lecture note series ; 92.Publication details: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985.Description: 1 online resource (xii, 223 pages) : illustrationsContent type:- text
- computer
- online resource
- 9781107361041
- 1107361044
- 9780511661914
- 0511661916
- Commutative rings
- Representations of rings (Algebra)
- Skew fields
- Anneaux commutatifs
- Représentations d'anneaux (Algèbre)
- Corps gauches
- MATHEMATICS -- Algebra -- Intermediate
- Commutative rings
- Representations of rings (Algebra)
- Skew fields
- Artinscher Ring
- Schiefkörper
- Darstellungstheorie
- Ring Mathematik
- Ringtheorie
- Anneaux commutatifs
- Corps gauches
- 512/.4 22
- QA251.3 .S34 1985eb
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Electronic-Books | OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Includes bibliographical references (pages 219-221) and index.
Print version record.
pt. 1. Homomorphisms to simple artinian rings -- pt. 2. Skew subfields of simple artinian coproducts.
The first half of the book is a general study of homomorphisms to simple artinian rings; the techniques developed here should be of interest to many algebraists. The second half is a more detailed study of special types of skew fields which have arisen from the work of P.M. Cohn and the author. A number of questions are settled; a version of the Jacobian conjecture for free algebras is proved and there are examples of skew field extensions of different but finite left and right dimension.
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