Representation of rings over skew fields /:
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 nu...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1985.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
92. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xii, 223 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 219-221) and index. |
| ISBN: | 9781107361041 1107361044 9780511661914 0511661916 |
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| 505 | 0 | |a pt. 1. Homomorphisms to simple artinian rings -- pt. 2. Skew subfields of simple artinian coproducts. | |
| 520 | |a 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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| author | Schofield, A. H. (Aidan Harry), 1957- |
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| contents | pt. 1. Homomorphisms to simple artinian rings -- pt. 2. Skew subfields of simple artinian coproducts. |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:17Z |
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| isbn | 9781107361041 1107361044 9780511661914 0511661916 |
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| oclc_num | 839304433 |
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| spelling | Schofield, A. H. (Aidan Harry), 1957- https://id.oclc.org/worldcat/entity/E39PCjFcbfHmYgD4gQgyWdrVP3 http://id.loc.gov/authorities/names/n84122790 Representation of rings over skew fields / A.H. Schofield. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985. 1 online resource (xii, 223 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 92 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. Commutative rings. http://id.loc.gov/authorities/subjects/sh85029269 Representations of rings (Algebra) http://id.loc.gov/authorities/subjects/sh85112945 Skew fields. http://id.loc.gov/authorities/subjects/sh85123128 Anneaux commutatifs. Représentations d'anneaux (Algèbre) Corps gauches. MATHEMATICS Algebra Intermediate. bisacsh Commutative rings fast Representations of rings (Algebra) fast Skew fields fast Artinscher Ring gnd http://d-nb.info/gnd/4202669-6 Schiefkörper gnd http://d-nb.info/gnd/4052359-7 Darstellungstheorie gnd http://d-nb.info/gnd/4148816-7 Ring Mathematik gnd http://d-nb.info/gnd/4128084-2 Ringtheorie gnd http://d-nb.info/gnd/4126571-3 Anneaux commutatifs. ram Corps gauches. ram Print version: Schofield, A.H. (Aidan Harry), 1957- Representation of rings over skew fields. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985 0521278538 (DLC) 84022996 (OCoLC)11469962 London Mathematical Society lecture note series ; 92. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552432 Volltext |
| spellingShingle | Schofield, A. H. (Aidan Harry), 1957- Representation of rings over skew fields / London Mathematical Society lecture note series ; pt. 1. Homomorphisms to simple artinian rings -- pt. 2. Skew subfields of simple artinian coproducts. Commutative rings. http://id.loc.gov/authorities/subjects/sh85029269 Representations of rings (Algebra) http://id.loc.gov/authorities/subjects/sh85112945 Skew fields. http://id.loc.gov/authorities/subjects/sh85123128 Anneaux commutatifs. Représentations d'anneaux (Algèbre) Corps gauches. MATHEMATICS Algebra Intermediate. bisacsh Commutative rings fast Representations of rings (Algebra) fast Skew fields fast Artinscher Ring gnd http://d-nb.info/gnd/4202669-6 Schiefkörper gnd http://d-nb.info/gnd/4052359-7 Darstellungstheorie gnd http://d-nb.info/gnd/4148816-7 Ring Mathematik gnd http://d-nb.info/gnd/4128084-2 Ringtheorie gnd http://d-nb.info/gnd/4126571-3 Anneaux commutatifs. ram Corps gauches. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85029269 http://id.loc.gov/authorities/subjects/sh85112945 http://id.loc.gov/authorities/subjects/sh85123128 http://d-nb.info/gnd/4202669-6 http://d-nb.info/gnd/4052359-7 http://d-nb.info/gnd/4148816-7 http://d-nb.info/gnd/4128084-2 http://d-nb.info/gnd/4126571-3 |
| title | Representation of rings over skew fields / |
| title_auth | Representation of rings over skew fields / |
| title_exact_search | Representation of rings over skew fields / |
| title_full | Representation of rings over skew fields / A.H. Schofield. |
| title_fullStr | Representation of rings over skew fields / A.H. Schofield. |
| title_full_unstemmed | Representation of rings over skew fields / A.H. Schofield. |
| title_short | Representation of rings over skew fields / |
| title_sort | representation of rings over skew fields |
| topic | Commutative rings. http://id.loc.gov/authorities/subjects/sh85029269 Representations of rings (Algebra) http://id.loc.gov/authorities/subjects/sh85112945 Skew fields. http://id.loc.gov/authorities/subjects/sh85123128 Anneaux commutatifs. Représentations d'anneaux (Algèbre) Corps gauches. MATHEMATICS Algebra Intermediate. bisacsh Commutative rings fast Representations of rings (Algebra) fast Skew fields fast Artinscher Ring gnd http://d-nb.info/gnd/4202669-6 Schiefkörper gnd http://d-nb.info/gnd/4052359-7 Darstellungstheorie gnd http://d-nb.info/gnd/4148816-7 Ring Mathematik gnd http://d-nb.info/gnd/4128084-2 Ringtheorie gnd http://d-nb.info/gnd/4126571-3 Anneaux commutatifs. ram Corps gauches. ram |
| topic_facet | Commutative rings. Representations of rings (Algebra) Skew fields. Anneaux commutatifs. Représentations d'anneaux (Algèbre) Corps gauches. MATHEMATICS Algebra Intermediate. Commutative rings Skew fields Artinscher Ring Schiefkörper Darstellungstheorie Ring Mathematik Ringtheorie |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552432 |
| work_keys_str_mv | AT schofieldah representationofringsoverskewfields |