عنوان

Alternative loop rings /

(Number (ISBN

008052706X

(Number (ISBN

0444824383

(Number (ISBN

9780080527062

(Number (ISBN

9780444824387

Number

b777687

Title Proper

Alternative loop rings /

General Material Designation

[Book]

First Statement of Responsibility

Edgar G. Goodaire, Eric Jespers, César Polcino Milies.

Place of Publication, Distribution, etc.

New York :

Name of Publisher, Distributor, etc.

Elsevier,

Date of Publication, Distribution, etc.

1996.

Specific Material Designation and Extent of Item

1 online resource (xv, 387 pages) :

Other Physical Details

illustrations

Series Title

North-Holland mathematics studies ;

Volume Designation

184

Text of Note

Includes bibliographical references (pages 369-376) and index.

Text of Note

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.

Source for Acquisition/Subscription Address

Elsevier Science & Technology

Stock Number

120767:126831

Title

Alternative loop rings.

International Standard Book Number

9780444824387

Alternative rings.

Group rings.

Loops (Group theory)

Algebra nao associativa.

Alternative rings.

Group rings.

Loops (Group theory)

MATHEMATICS-- Algebra-- Intermediate.

MAT-- 002040

Number

Edition

Class number

Book number

Goodaire, Edgar G.

Jespers, Eric.

Milies, César Polcino.

Date of Transaction

20201203110447.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y