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221028  eng 
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a 9780080527062

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a 0444824383

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a 9780444824387

050 

4 
a QA252

100 
1 

a Goodaire, Edgar G.

245 
0 
0 
a Alternative loop rings
c Edgar G. Goodaire, Eric Jespers, César Polcino Milies

260 


a Amsterdam
b Elsevier
c 1996, 1996

300 


a xv, 387 pages
b illustrations

505 
0 

a Includes bibliographical references (pages 369376) and index

653 


a Loops (Group theory) / http://id.loc.gov/authorities/subjects/sh85078321

653 


a MATHEMATICS / Algebra / Intermediate / bisacsh

653 


a Algebra nao associativa / larpcal

653 


a Anneaux alternatifs

653 


a Group rings / http://id.loc.gov/authorities/subjects/sh85057496

653 


a Alternative rings / fast / (OCoLC)fst00806180

653 


a Lacets (Théorie des groupes)

653 


a Group rings / fast / (OCoLC)fst00948510

653 


a Loops (Group theory) / fast / (OCoLC)fst01002472

653 


a Alternative rings / http://id.loc.gov/authorities/subjects/sh96008716

653 


a Anneaux de groupes

700 
1 

a Jespers, Eric

700 
1 

a Milies, César Polcino

041 
0 
7 
a eng
2 ISO 6392

989 


b ZDB1ELC
a Elsevier eBook collection Mathematics

490 
0 

a NorthHolland mathematics studies

776 


z 008052706X

776 


z 9780080527062

856 
4 
0 
u https://www.sciencedirect.com/science/bookseries/03040208/184
x Verlag
3 Volltext

082 
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a 512/.4

520 


a For the past ten years, alternative loop rings have intrigued mathematicians from a wide crosssection 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 2groups. 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 ringtheoretic and grouptheoretic concepts. They present a work which is very much selfcontained. 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
