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A First Course in Abstract Algebra
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by
Joseph J Rotman
For one-semester or two-semester undergraduate courses in Abstract Algebra.This new edition has been completely rewritten. The four chapters from the first edition are expanded, from 257 pages in first edition to 384 in the second. Two new chapters have been added: the first 3 chapters are a text for a one-semester course; the last 3 chapters are ...
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Yetter-Drinfel'd Hopf Algebras Over Groups of Prime Order
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Alvaro Macieira-Coelho, Yorck Sommerhauser
Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic ...
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A First Course in Abstract Algebra: With Applications
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Joseph J Rotman
This text introduces students to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.
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Rings, Hopf Algebras, and Brauer Groups
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by
Stefaan Caenepeel (Editor), A Verschoren (Editor), Caenepeel Caenepeel
Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry.
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An Introduction to Group Rings
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Sudarshan K Sehgal, Cesar Polcino Milies, Ca(c)Sar Polcino Milies
Group rings play a central role in the theory of representations of groups and are very interesting algebraic objects in their own right. In their study, many branches of algebra come to a rich interplay. This book takes the reader from beginning to research level and contains many topics that, so far, were only found in papers published in ...
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Green Functors and G-Sets
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Serge Bouc
This book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite G-sets. Some classical constructions, such as the associated categroy or algebra, have a natural interpretation in that framework. Many notions of ring theory can be extended to Green functors (opposite Green functor, ...
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Groups, Rings and Group Rings
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Antonio Giambruno (Editor), Giambruno Giambruno, Cesar Polcino Milies (Editor)
This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes ...
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Derived Equivalences for Group Rings
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Steffen Konig, Alexander Zimmermann, Steffen Knig
This text presents a self-contained introduction to J. Rickard's Morita theory for derived module categories and its applications in representation theory of finite groups. In particular, Brou's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local ...
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Blocks of tame representation type and related algebras
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Karin Erdmann
This monograph studies algebras that are associated to blocks of tame representation type. Over the past few years, a range of new results have been obtained and a comprehensive account of these is provided here together with some new proofs of known results. Some general theory of algebras is also presented, as a means of understanding the ...
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Group Rings and Their Augmentation Ideals
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by
Inder Bir S Passi
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Classgroups of Group Rings
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by
Martin J Taylor (Editor), N J Hitchin (Editor)
This book is a self-contained account of the theory of classgroups of group rings. The guiding philosophy has been to describe all the basic properties of such classgroups in terms of character functions. This point of view is due to A. Frohlich and it achieves a considerable simplification and clarity over previous techniques. A main feature of ...
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Brauer Groups in Ring Theory and Algebraic Geometry
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F Van Oystaeyen (Editor), A Verschoren (Editor)
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Subnormal Subgroups of Groups
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John Lennox, Stewart Stonehewer
This book is the first to give a comprehensive account of subnormal subgroups of both finite and infinite groups. The authors trace the historical development of the subject from the early work of Wielandt, including the celebrated "join problem," to very recent results relating to the elusive subnormalizer of a subgroup. The book explains how the ...
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Groups, Rings and Algebras: A Conference in Honor of Donald S. Passman, June 10-12, 2005, the University of Wisconsin-Madison, Madison, Wisconsin
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by
Donald S Passman
This is a companion volume to the conference in honor of Donald S. Passman held in Madison, Wisconsin in June 2005. It contains research papers on Algebras, Group Rings, Hopf Algebras, Invariant Theory, Lie Algebras and their Enveloping Algebras, Noncommutative Algebraic Geometry, Noncommutative Rings, and other topics. The papers represent an ...
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Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications; Proceedings: Int'l Conference on Noncommutative Rings, Group Rings, Diagram Algebras... (2006--Chennai, India)
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by
Dr. S K Jain (Editor), S Parvathi (Editor)
Articles in this volume are based on talks given at the International Conference on Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications. The conference provided researchers in mathematics with the opportunity to discuss new developments in these rapidly growing fields. This book contains several excellent articles, both ...
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Group Rings and Class Groups
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by
Klaus W Roggenkamp
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Brauer Groups in Ring Theory and Algebraic Geometry: Proceedings, University of Antwerp, U.I.A., Belgium, August 17-28, 1981
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by
F Van Oystaeyen
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Neutrosophic Rings
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by
W B Vasantha Kandasamy
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Alternative Loop Rings
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by
Edgar G Goodaire, E Jespers (Editor), C Polcino Milies (Editor)
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 ...
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Class Groups and Picard Groups of Group Rings and Orders
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by
Irving Reiner, Conference Board of the Mathematical Sci
Features lectures that intend to provide an introduction to the developments in the theory of class groups and Picard groups. The techniques employed come from the three main areas: algebraic number theory, representation theory of algebras and orders, and algebraic $K$-theory.
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Representation Theory, Group Rings, & Coding Theory (Papers in Honor of Professor S. D. German (1922-1987)
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by
M Isaacs (Editor)
This volume is dedicated to the memory of the Soviet mathematician S. D. Berman (1922-1987). Berman's work - for the most part in representation theory, group rings, and coding theory - is discussed here in a number of review articles. Among the topics covered are Berman's achievements in coding theory, including his pioneering work on abelian ...
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Group Rings of Finite Groups Over P-Adic Integers
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Wilhelm Plesken
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Groups of Cohomological Dimension One
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Daniel E Cohen
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Homogeneous Integral Table Algebras of Degree Three: A Trilogy
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Harvey I Blau
This book features homogeneous integral table algebras of degree three with a faithful real element. The algebras of the title are classified to exact isomorphism; that is, the sets of structure constants which arise from the given basis are completely determined. Other results describe all possible extensions (pre-images), with a faithful element ...
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Modules Over the Integral Group Ring of a Non-Abelian Group of Order Pq
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by
L. Klinger, Lee Klingler
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