Author: S. MontgomeryPublisher: Springer
ISBN: 3540383085
Category : Mathematics
Languages : en
Pages : 133
Book Description
Fixed Rings of Finite Automorphism Groups of Associative Rings
Author: S. MontgomeryPublisher: Springer
ISBN: 3540383085
Category : Mathematics
Languages : en
Pages : 133
Book Description
Lecture Notes in Mathematics
Author: Publisher:
ISBN: 9780387102320
Category : Associative rings
Languages : en
Pages : 126
Book Description
Commutative Algebra - Proceedings Of The Workshop
Author: Giuseppe VallaPublisher: World Scientific
ISBN: 9814551791
Category :
Languages : en
Pages : 330
Book Description
In a relatively short time, commutative algebra has grown in many directions. Over a period of nearly fifty years starting from the so-called homological period till today, the area has developed into a rich laboratory of methods, structures and problem-solving tools.One could say a distinct modern trend of commutative algebra is a strong interaction with various aspects of Combinatorics and Computer Algebra. This has resulted in a new sense of measuring for old assumptions, and a better understanding of old results.At the same time, Invariant Theory and Algebraic Geometry remain constituents of an everlasting classical source, responsible for important themes that have been developed in Commutative Algebra — such as deformation, linkage, algebraic tori and determinantal rings, etc.This volume of proceedings is well-entrenched on the lines of development outlined above. As such, it aims to keep researchers and mathematicians well-informed of the developments in the field.
Modules and Algebras
Author: Robert WisbauerPublisher: CRC Press
ISBN: 9780582289819
Category : Mathematics
Languages : en
Pages : 384
Book Description
Module theory over commutative asociative rings is usually extended to noncommutative associative rings by introducing the category of left (or right) modules. An alternative to this procedure is suggested by considering bimodules. A refined module theory for associative rings is used to investigate the bimodule structure of arbitary algebras and group actions on these algebras.
Rings, Hopf Algebras, and Brauer Groups
Author: Stefaan CaenepeelPublisher: CRC Press
ISBN: 1000153282
Category : Mathematics
Languages : en
Pages : 352
Book Description
"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. "
Abelian Groups and Noncommutative Rings: A Collection of Papers in Memory of Robert B. Warfield, Jr.
Author: László FuchsPublisher: American Mathematical Soc.
ISBN: 082185142X
Category : Mathematics
Languages : en
Pages : 408
Book Description
This collection of research papers is dedicated to the memory of the distinguished algebraist Robert B. Warfield, Jr. Focusing on abelian group theory and noncommutative ring theory, the book covers a wide range of topics reflecting Warfield's interests and includes two articles surveying his contributions to mathematics. Because the articles have been refereed to high standards and will not appear elsewhere, this volume is indispensable to any researcher in noncommutative ring theory or abelian group theory. With papers by some of the major leaders in the field, this book will also be important to anyone interested in these areas, as it provides an overview of current research directions.
Canadian Mathematical Bulletin
Author: Invariants under Tori of Rings of Differential Operators and Related Topics
Author: Ian Malcolm MussonPublisher: American Mathematical Soc.
ISBN: 0821808850
Category : Mathematics
Languages : en
Pages : 99
Book Description
If $G$ is a reductive algebraic group acting rationally on a smooth affine variety $X$, then it is generally believed that $D(X) $ has properties very similar to those of enveloping algebras of semisimple Lie algebras. In this book, the authors show that this is indeed the case when $G$ is a torus and $X=k \times (k ) $. They give a precise description of the primitive ideals in $D(X) $ and study in detail the ring theoretical and homological properties of the minimal primitive quotients of $D(X) $. The latter are of the form $B =D(X) /({\germ g}-\chi({\germ g}))$ where ${\germ g}= {\rm Lie}(G)$, $\chi\in {\germ g} ast$ and ${\germ g}-\chi({\germ g})$ is the set of all $v-\chi(v)$ with $v\in {\germ g}$. They occur as rings of twisted differential operators on toric varieties. It is also proven that if $G$ is a torus acting rationally on a smooth affine variety, then $D(X/\!/G)$ is a simple ring.
Advances In Ring Theory - Proceedings Of The 4th China-japan-korea International Conference
Author: Jianlong ChenPublisher: World Scientific
ISBN: 9814479705
Category : Mathematics
Languages : en
Pages : 335
Book Description
The selected papers in this volume cover all the most important areas of ring theory and module theory such as classical ring theory, representation theory, the theory of quantum groups, the theory of Hopf algebras, the theory of Lie algebras and Abelian group theory. The review articles, written by specialists, provide an excellent overview of the various areas of ring and module theory — ideal for researchers looking for a new or related field of study. Also included are original articles showing the trend of current research.
Automorphisms and Derivations of Associative Rings
Author: V. KharchenkoPublisher: Springer Science & Business Media
ISBN: 9401136041
Category : Mathematics
Languages : en
Pages : 398
Book Description