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Titlebook: Noncommutative Rings; Susan Montgomery,Lance Small Conference proceedings 1992 Springer-Verlag New York, Inc. 1992 Category theory.algebra

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發(fā)表于 2025-3-21 19:11:02 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Noncommutative Rings
編輯Susan Montgomery,Lance Small
視頻videohttp://file.papertrans.cn/668/667202/667202.mp4
叢書名稱Mathematical Sciences Research Institute Publications
圖書封面Titlebook: Noncommutative Rings;  Susan Montgomery,Lance Small Conference proceedings 1992 Springer-Verlag New York, Inc. 1992 Category theory.algebra
描述This volume collects some of the survey lectures delivered at the Micro- program on Noncommutative Rings held at MSRI, July 10-21, 1989. While the program was concerned with recent advances in ring theory, it also had as an important component lectures on related areas of mathematics where ring theory might be expected to have an impact. Thus, there are lectures of S. P. Smith on quantum groups and Marc Ri- effel on algebraic aspects of quantum field theory. Martin Lorenz and Don- ald Passman consider in their lectures various aspects of crossed products: homological and K-theoretic to group actions. Kenneth Brown presents the "modern" theory of Noetherian rings and localization. These contributions as well as the others not presented here show that ring theory remains a vigorous and useful area. The planning and organization of the program were done by the under- signed and the late Robert Warfield. His illness prevented his attendance at the meeting. It is to him we dedicate this volume. The organizers wish to extend their thanks to Irving Kaplansky, Director of MSRI, and the staff for all of their efforts in making this conference such a success. Susan Montgomery Lance Small vii
出版日期Conference proceedings 1992
關(guān)鍵詞Category theory; algebra; commutative ring; representation theory; ring theory
版次1
doihttps://doi.org/10.1007/978-1-4613-9736-6
isbn_softcover978-1-4613-9738-0
isbn_ebook978-1-4613-9736-6Series ISSN 0940-4740
issn_series 0940-4740
copyrightSpringer-Verlag New York, Inc. 1992
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沙發(fā)
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地板
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https://doi.org/10.1007/978-1-4613-9736-6Category theory; algebra; commutative ring; representation theory; ring theory
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Prime Ideals in Crossed Products,This talk is concerned with crossed products and, to a lesser extent, with more general group-graded rings. Specifically, we consider when such rings are prime or semiprime and we study the nature of their prime ideals under certain finiteness assumptions. We also include some applications to the Galois theory of noncommutative rings.
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The Representation Theory of Noetherian Rings, ring ., to indicate how this structure depends on the nature of certain bimodules within the ring which afford “l(fā)inks” between the prime ideals of ., and to suggest some directions for future research in these areas.
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Category Theory and Quantum Field Theory,vation, coming from quantum field theory, and then state some important related category-theoretic questions which have arisen recently in low-dimensional quantum field theory. These questions, which are quite open, have interesting connections with quantum groups and knot theory.
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