Quasi-Frobenius Rings (Cambridge Tracts in Mathematics)
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Publication
2003-09-08 - Cambridge University Press
Language
English
Word Count
81,500 words, Guess
Page Count
326 pages
Physical Format
Hardcover
Identifiers
- Open LibraryOL7755607M
- ISBN-139780521815932
- ISBN-100521815932
- OCLC Control Number50948598
- OCLC Control Number51316465
and 3 more
- OCLC Control Numberquasifrobeniusri00nich
- Library of Congress Control Number2002041003
- Goodreads4874096
Classifications
- LCCQA251.5 .N53 2003
Description
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.
First Sentence
To make this monograph as self-contained as possible, this preliminary chapter contains basic characterizations of quasi-Frobenius and pseudo-Frobenius rings, together with the necessary background material.
Subjects
Other Editions
- Quasi-Frobenius Rings (Cambridge Tracts in Mathematics)
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