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Notes on the Witt Classification of Hermitian Innerproduct Spaces over a Ring of Algebraic Integers

algebraic and number theoretical tools for formulating and solving certain types of classification problems in topology.;

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Bilinear Algebra

depending on the ground field, formally real fields, Pfister forms, the Witt ring of an arbitrary field (characteristic two included), prime ideals;

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Cohomology of Groups and Algebraic K-theory

Groups - Oliver Baues; Lectures on the Cohomology of Groups - Kenneth S. Brown; A Brief Introduction to Algebraic K-Theory - Daniel R. Grayson;

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Representations of Finite Groups

prototype for this has been Daniel Quillen's description of the algebraic variety corresponding to the cohomology ring of a finite group, based on;

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Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic $K$-Theory

of modules over such a ring to the differential algebraic K-theory. We also treat some of the foundational aspects ofdifferential cohomology;

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Course On Abstract Algebra, A

This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the authors' notes at the;

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Abstract Algebra

introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction;

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Classification of Pseudo-reductive Groups (AM-191)

classification of isotropic groups and displays a cohomological obstruction to the existence of pseudo-split forms. Constructions based on regular;

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Classification of Pseudo-reductive Groups (AM-191)

classification of isotropic groups and displays a cohomological obstruction to the existence of pseudo-split forms. Constructions based on regular;

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Complex Non-Kähler Geometry: Cetraro, Italy 2018

Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast;

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Numbers and Symmetry

This textbook presents modern algebra from the ground up using numbers and symmetry. The idea of a ring and of a field are introduced;

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Numbers and Symmetry

This textbook presents modern algebra from the ground up using numbers and symmetry. The idea of a ring and of a field are introduced;

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A Physicist's Introduction to Algebraic Structures

An algebraic structure consists of a set of elements, with some rule of combining them, or some special property of selected subsets of the;

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Quadrangular Algebras. (MN-46)

yield the classification of exceptional Moufang quadrangles as a consequence. The book closes with a chapter on isotopes and the structure group;

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An Alpine Bouquet of Algebraic Topology

-Almagell, Switzerland. The papers cover a broad range of topics in modern algebraic topology, including the theory of highly structured ring;

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Basic Algebraic Topology and its Applications

conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces;

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The Invariant Theory of Matrices

This book gives a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a;

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Skew PBW Extensions

This monograph is devoted to a new class of non-commutative rings, skew Poincare-Birkhoff-Witt (PBW) extensions. Beginning with the basic;

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Einstein Metrics and Yang-Mills Connections

This volume contains papers presented at the 27th Taniguchi International Symposium, held in Sanda, Japan - focusing on the study of moduli;

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Cambridge Studies in Advanced Mathematics

This work consists of two courses on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on;

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Locally Mixed Symmetric Spaces

What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common;

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Separable Galois Theory Of Commutative Rings

notion of commutative separable algebra over a given commutative ring and explains how to construct an equivalent category of profinite spaces on;

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A Concrete Approach to Abstract Algebra

, and linear dependence and vector spaces. Additional topics include algebraic calculations with vectors, vectors over a field, and fields;

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International Symposium on Ring Theory

Ring theory provides the algebraic underpinnings for many areas of mathematics, computer science, and physics. For example, ring theory;

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Modules and the Structure of Rings

knowledge of module theory. Modulesand the Structure of Rings details the use of modules over a ring as a means of consideringthe structure of the;

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Modules and the Structure of Rings

knowledge of module theory. Modulesand the Structure of Rings details the use of modules over a ring as a means of consideringthe structure of the;

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A Concrete Introduction to Higher Algebra

This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are;

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