Representation of rings over skew fields / A.H. Schofield.

Format:

Book

Author/Creator:

Schofield, A. H. (Aidan Harry), 1957- author.

Series:

London Mathematical Society lecture note series ; 92.

London Mathematical Society lecture note series ; 92

Language:

English

Subjects (All):

Commutative rings.

Representations of rings (Algebra).

Skew fields.

Physical Description:

1 online resource (xii, 223 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1985.

Language Note:

English

Summary:

The first half of the book is a general study of homomorphisms to simple artinian rings; the techniques developed here should be of interest to many algebraists. The second half is a more detailed study of special types of skew fields which have arisen from the work of P. M. Cohn and the author. A number of questions are settled; a version of the Jacobian conjecture for free algebras is proved and there are examples of skew field extensions of different but finite left and right dimension.

Contents:

pt. 1. Homomorphisms to simple artinian rings

pt. 2. Skew subfields of simple artinian coproducts.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 219-221) and index.

ISBN:

1-139-88394-1

1-107-36595-3

1-107-37068-X

1-107-36104-4

1-107-37030-2

1-299-40376-X

1-107-36349-7

0-511-66191-6