Rings, Modules, and Closure Operations

Rings, Modules, and Closure Operations
Author: Jesse Elliott
Publisher: Springer Nature
Total Pages: 490
Release: 2019-11-30
Genre: Mathematics
ISBN: 3030244016

This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.

Advances in Rings and Modules

Advances in Rings and Modules
Author: Sergio R. López-Permouth
Publisher: American Mathematical Soc.
Total Pages: 298
Release: 2018-09-06
Genre: Mathematics
ISBN: 1470435551

This volume, dedicated to Bruno J. Müller, a renowned algebraist, is a collection of papers that provide a snapshot of the diversity of themes and applications that interest algebraists today. The papers highlight the latest progress in ring and module research and present work done on the frontiers of the topics discussed. In addition, selected expository articles are included to give algebraists and other mathematicians, including graduate students, an accessible introduction to areas that may be outside their own expertise.

Rings, Extensions, and Cohomology

Rings, Extensions, and Cohomology
Author: Andy R. Magid
Publisher: CRC Press
Total Pages: 262
Release: 2020-09-10
Genre: Mathematics
ISBN: 1000116816

"Presenting the proceedings of a conference held recently at Northwestern University, Evanston, Illinois, on the occasion of the retirement of noted mathematician Daniel Zelinsky, this novel reference provides up-to-date coverage of topics in commutative and noncommutative ring extensions, especially those involving issues of separability, Galois theory, and cohomology."

Rings, Groups, and Algebras

Rings, Groups, and Algebras
Author: X. Cao
Publisher: CRC Press
Total Pages: 349
Release: 2020-12-22
Genre: Mathematics
ISBN: 1000116794

"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."

Rings, Hopf Algebras, and Brauer Groups

Rings, Hopf Algebras, and Brauer Groups
Author: Stefaan Caenepeel
Publisher: CRC Press
Total Pages: 352
Release: 2020-09-29
Genre: Mathematics
ISBN: 1000153282

"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. "

Geometry and Physics

Geometry and Physics
Author: H. Pedersen
Publisher: CRC Press
Total Pages: 772
Release: 2021-01-08
Genre: Mathematics
ISBN: 1000153940

"Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark. Offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts."

Graphs, Matrices, and Designs

Graphs, Matrices, and Designs
Author: Rees
Publisher: Routledge
Total Pages: 350
Release: 2017-07-12
Genre: Mathematics
ISBN: 1351444379

Examines partitions and covers of graphs and digraphs, latin squares, pairwise balanced designs with prescribed block sizes, ranks and permanents, extremal graph theory, Hadamard matrices and graph factorizations. This book is designed to be of interest to applied mathematicians, computer scientists and communications researchers.

Stochastic Processes and Functional Analysis

Stochastic Processes and Functional Analysis
Author: Jerome Goldstein
Publisher: CRC Press
Total Pages: 300
Release: 2020-09-23
Genre: Mathematics
ISBN: 1000148637

"Covers the areas of modern analysis and probability theory. Presents a collection of papers given at the Festschrift held in honor of the 65 birthday of M. M. Rao, whose prolific published research includes the well-received Marcel Dekker, Inc. books Theory of Orlicz Spaces and Conditional Measures and Applications. Features previously unpublished research articles by a host of internationally recognized scholars."