"Algebre necomutative." . . "Groupe Brauer." . . . . . . . "Electronic books" . . . . . . . . . . . "Noncommutative algebra"@en . "Noncommutative algebra" . . . . "Noncommutative Algebra" . . . . . . "This book is an introduction to the theory of noncommutative algebra. The core of the book is suitable for a one-semester course for graduate students. The approach, which is more homological than ring-theoretic, clarifies the subject and its relation to other important areas of mathematics, including K-theory, homological algebra, and representation theory. The main part of the book begins with a brief review of background material; the first chapter covers the basics of semisimple modules and rings, including the Wedderburn structure theorem; chapter two discusses the Jacobson radical, giving several different views; chapter three develops the theory of central simple algebras, including proofs of the Skolem-Noether and Double Centralizer theorems, with two famous theorems of Wedderburn and Frobenius given as applications; and chapter four is an introduction to the Brauer group and its relation to cohomology. The remaining chapters introduce several special topics: the notion of primitive ring is developed along lines parallel to that of simple rings; the representation theory of finite groups is combined with the Wedderburn Structure Theorem to prove Burnside's Theorem; the global dimension of a ring is studied using Kaplansky's elementary point of view; and the Brauer group of a commutative ring is introduced. Problems throughout the book provide concrete examples, applications and amplifications of the text; a set of supplementary problems explores further topics and can serve as starting points for student projects." . . . . . . . . . . . . . . . . . . . . . . . . . . . . "Algebras no conmutativas." . . "Álgebras no conmutativas." . "Théorème Burnside." . . "Algèbre abstraite." . . "Anneau primitif." . . "Algèbres non commutatives." . . "Ringen (wiskunde)" . . "Algèbre Azumaya." . . "Algebra." . . "Nichtkommutativer Ring." . . "Àlgebres no commutatives." . . "Algebra asociativni kolobarji in algebre." . . "Représentation groupe fini." . . "Algebry nieprzemienne podręczniki akademickie." . . . . "Àlgebra no commutativa" . . "Nichtkommutative Algebra." . . "Nichtkommutative Algebra" . "Algèbre non commutative." . . "Dimension anneau." . .