Quasi-Frobenius rings / W.K. Nicholson, M.F. Yousif.

Format:

Book

Author/Creator:

Nicholson, W. Keith, author.

Yousif, M. F. (Mohamed F.), author.

Series:

Cambridge tracts in mathematics ; 158.

Cambridge tracts in mathematics ; 158

Language:

English

Subjects (All):

Quasi-Frobenius rings.

Physical Description:

1 online resource (xvii, 307 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2003.

Language Note:

English

Summary:

A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all four combinations are equivalent). The study of these rings grew out of the theory of representations of a finite group as a group of matrices over a field, and the subject is intimately related to duality, the duality from right to left modules induced by the hom functor and the duality related to annihilators. The present extent of the theory is vast, and this book makes no attempt to be encyclopedic; instead it provides an elementary, self-contained account of the basic facts about these rings at a level allowing researchers and graduate students to gain entry to the field.

Contents:

Background

Mininjective rings

Semiperfect mininjective rings

Min-CS rings

Principally injective and FP rings

Simple injective and dual rings

FGF rings

Johns rings

A generic example

Morita equivalence

Perfect, semiperfect, and semiregular rings

The Camps-Dicks theorem.

Notes:

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

Includes bibliographical references (p. 293-302) and index.

ISBN:

1-107-13423-4

1-280-41998-9

9786610419982

0-511-16959-0

0-511-20555-4

0-511-30844-2

0-511-54652-1

0-511-07356-9

OCLC:

57204213