Edgar G. Goodaire, Eric Jespers, César Polcino Milies.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York :
نام ناشر، پخش کننده و غيره
Elsevier,
تاریخ نشرو بخش و غیره
1996.
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (xv, 387 pages) :
ساير جزييات
illustrations
فروست
عنوان فروست
North-Holland mathematics studies ;
مشخصه جلد
184
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 369-376) and index.
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Elsevier Science & Technology
شماره انبار
120767:126831
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Alternative loop rings.
شماره استاندارد بين المللي کتاب و موسيقي
9780444824387
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Alternative rings.
موضوع مستند نشده
Group rings.
موضوع مستند نشده
Loops (Group theory)
موضوع مستند نشده
Algebra nao associativa.
موضوع مستند نشده
Alternative rings.
موضوع مستند نشده
Group rings.
موضوع مستند نشده
Loops (Group theory)
موضوع مستند نشده
MATHEMATICS-- Algebra-- Intermediate.
مقوله موضوعی
موضوع مستند نشده
MAT-- 002040
رده بندی ديویی
شماره
512/
.
4
ويراست
22
رده بندی کنگره
شماره رده
QA252
نشانه اثر
.
G65
1996eb
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )