Displaying similar documents to “An introduction to algebraic K-theory”

Algebraic K-theory of rings from a topological viewpoint.

Dominique Arlettaz (2000)

Publicacions Matemàtiques

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Because of its strong interaction with almost every part of pure mathematics, algebraic K-theory has had a spectacular development since its origin in the late fifties. The objective of this paper is to provide the basic definitions of the algebraic K-theory of rings and an overview of the main classical theorems. Since the algebraic K-groups of a ring R are the homotopy groups of a topological space associated with the general linear group over R, it is obvious that many general results...

Homotopy representability of Brauer groups.

Antonio Martínez Cegarra (1999)

Extracta Mathematicae

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The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative rings.