Alternative loop rings:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
1996
|
| Schriftenreihe: | North-Holland mathematics studies
184 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously. One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is a very close relationship between the algebraic structures of loop rings and of group rings over 2-groups. Another major topic of research is the study of the unit loop of the integral loop ring. Here the interaction between loop rings and group rings is of immense interest. This is the first survey of the theory of alternative loop rings and related issues. Due to the strong interaction between loop rings and certain group rings, many results on group rings have been included, some of which are published for the first time. The authors often provide a new viewpoint and novel, elementary proofs in cases where results are already known. The authors assume only that the reader is familiar with basic ring-theoretic and group-theoretic concepts. They present a work which is very much self-contained. It is thus a valuable reference to the student as well as the research mathematician. An extensive bibliography of references which are either directly relevant to the text or which offer supplementary material of interest, are also included Includes bibliographical references (pages 369-376) and index |
| Beschreibung: | 1 Online-Ressource (xv, 387 pages) |
| ISBN: | 9780444824387 0444824383 9780080527062 008052706X |
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| 100 | 1 | |a Goodaire, Edgar G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Alternative loop rings |c Edgar G. Goodaire, Eric Jespers, César Polcino Milies |
| 264 | 1 | |a Amsterdam |b Elsevier |c 1996 | |
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| 490 | 0 | |a North-Holland mathematics studies |v 184 | |
| 500 | |a For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously. One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is a very close relationship between the algebraic structures of loop rings and of group rings over 2-groups. Another major topic of research is the study of the unit loop of the integral loop ring. Here the interaction between loop rings and group rings is of immense interest. This is the first survey of the theory of alternative loop rings and related issues. Due to the strong interaction between loop rings and certain group rings, many results on group rings have been included, some of which are published for the first time. The authors often provide a new viewpoint and novel, elementary proofs in cases where results are already known. The authors assume only that the reader is familiar with basic ring-theoretic and group-theoretic concepts. They present a work which is very much self-contained. It is thus a valuable reference to the student as well as the research mathematician. An extensive bibliography of references which are either directly relevant to the text or which offer supplementary material of interest, are also included | ||
| 500 | |a Includes bibliographical references (pages 369-376) and index | ||
| 650 | 7 | |a MATHEMATICS / Algebra / Intermediate |2 bisacsh | |
| 650 | 7 | |a Alternative rings |2 fast | |
| 650 | 7 | |a Group rings |2 fast | |
| 650 | 7 | |a Loops (Group theory) |2 fast | |
| 650 | 7 | |a Algebra nao associativa |2 larpcal | |
| 650 | 4 | |a Alternative rings | |
| 650 | 4 | |a Group rings | |
| 650 | 4 | |a Loops (Group theory) | |
| 700 | 1 | |a Jespers, Eric |e Sonstige |4 oth | |
| 700 | 1 | |a Milies, César Polcino |e Sonstige |4 oth | |
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Datensatz im Suchindex
| _version_ | 1804152913523638272 |
|---|---|
| any_adam_object | |
| author | Goodaire, Edgar G. |
| author_facet | Goodaire, Edgar G. |
| author_role | aut |
| author_sort | Goodaire, Edgar G. |
| author_variant | e g g eg egg |
| building | Verbundindex |
| bvnumber | BV042317268 |
| collection | ZDB-33-ESD ZDB-33-EBS |
| ctrlnum | (ZDB-33-EBS)ocn162130628 (OCoLC)162130628 (DE-599)BVBBV042317268 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042317268 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444824387 0444824383 9780080527062 008052706X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754258 |
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| physical | 1 Online-Ressource (xv, 387 pages) |
| psigel | ZDB-33-ESD ZDB-33-EBS FAW_PDA_ESD FLA_PDA_ESD |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | Elsevier |
| record_format | marc |
| series2 | North-Holland mathematics studies |
| spelling | Goodaire, Edgar G. Verfasser aut Alternative loop rings Edgar G. Goodaire, Eric Jespers, César Polcino Milies Amsterdam Elsevier 1996 1 Online-Ressource (xv, 387 pages) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 184 For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously. One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is a very close relationship between the algebraic structures of loop rings and of group rings over 2-groups. Another major topic of research is the study of the unit loop of the integral loop ring. Here the interaction between loop rings and group rings is of immense interest. This is the first survey of the theory of alternative loop rings and related issues. Due to the strong interaction between loop rings and certain group rings, many results on group rings have been included, some of which are published for the first time. The authors often provide a new viewpoint and novel, elementary proofs in cases where results are already known. The authors assume only that the reader is familiar with basic ring-theoretic and group-theoretic concepts. They present a work which is very much self-contained. It is thus a valuable reference to the student as well as the research mathematician. An extensive bibliography of references which are either directly relevant to the text or which offer supplementary material of interest, are also included Includes bibliographical references (pages 369-376) and index MATHEMATICS / Algebra / Intermediate bisacsh Alternative rings fast Group rings fast Loops (Group theory) fast Algebra nao associativa larpcal Alternative rings Group rings Loops (Group theory) Jespers, Eric Sonstige oth Milies, César Polcino Sonstige oth http://www.sciencedirect.com/science/book/9780444824387 Verlag Volltext |
| spellingShingle | Goodaire, Edgar G. Alternative loop rings MATHEMATICS / Algebra / Intermediate bisacsh Alternative rings fast Group rings fast Loops (Group theory) fast Algebra nao associativa larpcal Alternative rings Group rings Loops (Group theory) |
| title | Alternative loop rings |
| title_auth | Alternative loop rings |
| title_exact_search | Alternative loop rings |
| title_full | Alternative loop rings Edgar G. Goodaire, Eric Jespers, César Polcino Milies |
| title_fullStr | Alternative loop rings Edgar G. Goodaire, Eric Jespers, César Polcino Milies |
| title_full_unstemmed | Alternative loop rings Edgar G. Goodaire, Eric Jespers, César Polcino Milies |
| title_short | Alternative loop rings |
| title_sort | alternative loop rings |
| topic | MATHEMATICS / Algebra / Intermediate bisacsh Alternative rings fast Group rings fast Loops (Group theory) fast Algebra nao associativa larpcal Alternative rings Group rings Loops (Group theory) |
| topic_facet | MATHEMATICS / Algebra / Intermediate Alternative rings Group rings Loops (Group theory) Algebra nao associativa |
| url | http://www.sciencedirect.com/science/book/9780444824387 |
| work_keys_str_mv | AT goodaireedgarg alternativelooprings AT jesperseric alternativelooprings AT miliescesarpolcino alternativelooprings |