Algebra

Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to linear algebraists an..

Designed for use in a second course on linear algebra, Matrix Theory and Applications with MATLAB covers the basics of the subject-from a review of matrix algebra through vector spaces to matrix calculus and unitary similarity-in a presentation that stresses insight, understanding, and applications...

This book presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. Along with revising all existing chapters, this edition includes four new chapters that focu..

An attraction of multilinear algebra lies in its power to unify such seemingly diverse topics. Although advanced, the prerequisites for this unique text are minimized by self-contained introductions in the early chapters..

Nilpotent Orbits In Semisimple Lie Algebra..

With contributions derived from presentations at an international conference, this book explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and nat..

Based on conference held in St Petersburg, Russia, in honor of Dr Z Borevich, this book deals with the contributions related to the European Science Foundation workshop, organized under the framework of noncommuntative geometry and integrated in the Borevich meeting. It is suitable for mathematician..

Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative alg..

Presents modern algebra from the ground up using numbers and symmetry. This work provides an introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate course in modern algebra, it provides an introduction to the subject by allowing students to see..

This book was written with the student who does not plan to take more abstract algebra always in mind and is equally suitable for students who go on to graduate studies in mathematics. Numbers and Symmetry: An Introduction to Algebra provides a gentle introduction to the subject by allowing students..

This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special properties of 3- and 4-dimensional Euclidean spaces using quaternions, leading to enumerations of the corresponding finite groups of symmetries..

Covers topics in commutative and noncommutative ring extensions, especially those involving issues of separability, Galois theory, and cohomology...