| Description |
1 online resource (xv, 387 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
North-Holland mathematics studies ; 184 |
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North-Holland mathematics studies ; 184.
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| Summary |
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. |
| Bibliography |
Includes bibliographical references (pages 369-376) and index. |
| Note |
Print version record. |
| Subject |
Alternative rings.
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Group rings.
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Loops (Group theory)
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Anneaux alternatifs.
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Anneaux de groupes.
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Lacets (Théorie des groupes)
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MATHEMATICS -- Algebra -- Intermediate.
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Alternative rings
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Group rings
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Loops (Group theory)
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Algebra nao associativa.
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| Added Author |
Jespers, Eric.
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Milies, César Polcino.
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| Other Form: |
Print version: Goodaire, Edgar G. Alternative loop rings. Amsterdam ; New York : Elsevier, 1996 0444824383 9780444824387 (DLC) 96038501 (OCoLC)35298639 |
| ISBN |
9780444824387 |
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0444824383 |
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9780080527062 (electronic bk.) |
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008052706X (electronic bk.) |
| Standard No. |
AU@ 000048130251 |
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CHNEW 001005735 |
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DEBBG BV036962253 |
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DEBBG BV042317268 |
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DEBSZ 276794443 |
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DEBSZ 482352167 |
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NZ1 12432796 |
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NZ1 15192833 |
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DKDLA 820120-katalog:9910110393305765 |
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