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Electronic Book
Author Goodaire, Edgar G.

Title Alternative loop rings / Edgar G. Goodaire, Eric Jespers, César Polcino Milies.

Imprint Amsterdam ; New York : Elsevier, 1996.

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

 
    
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