Alternative Loop Rings is popular PDF and ePub book, written by E.G. Goodaire in 1996-10-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Alternative Loop Rings can be Read Online from any device for your convenience.
Alternative Loop Rings Book PDF 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.
Detail Book of Alternative Loop Rings PDF
- Author : E.G. Goodaire
- Release : 24 October 1996
- Publisher : Elsevier
- ISBN : 9780080527062
- Genre : Mathematics
- Total Page : 404 pages
- Language : English
- PDF File Size : 7,6 Mb
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