Algebra

Divided into two sections, this book covers both the standard topics (groups, modules, rings, and vector spaces) associated with abstract algebra and more advanced topics such as Galois fields, noncommutative rings, group extensions, and Abelian groups. The author includes review material where need..

A Survey of Modern Algebra..

Contains information offered at the international conference held in Curacao, Netherlands Antilles. This work presents the developments in the active areas of abelian groups, particularly in torsion-free abelian groups. It is suitable for algebraists and logicians, research mathematicians, and advan..

In honor of Edgar Enochs and his contributions to a range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their work and exchange ideas on some of the foremost research topics. This work presents the refereed papers of the participants of these ..

A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains...

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introd..

Presents the proceedings of the Third International Conference on Commutative Ring Theory held in Fez, Morocco. This title details the developments in commutative algebra and related areas. It examines wide-ranging developments in commutative algebra, together with connections to algebraic number th..

Over the last few years intensive community programmes for both young and adult offenders have become established in the UK as an important new component of penal policy - the ISSP (Intensive Supervision and Surveillance Programme) for persistent and serious young offenders, and the ICCP (Intensive ..

This book presents a systematic treatment of Gröbner bases in several contexts. The book builds up to the theory of Gröbner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra. Throughout the book, both the mathemat..

This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory co..

An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double commutan..

Contains chapters that demonstrate the diversity of approaches taken in studying nonunique factorizations and serve both as an introduction to factorization theory and as a survey of trends and results. This book also provides chapters that show research motivated by arithmetical properties of commu..