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Injective Modules and Injective Quotient Rings: 72 (Lecture Notes in Pure and Applied Mathematics) - Softcover

Book 82 of 141: Lecture Notes in Pure and Applied Mathematics

Faith, Carl

 
9780824716325: Injective Modules and Injective Quotient Rings: 72 (Lecture Notes in Pure and Applied Mathematics)
Softcover
ISBN 10: 0824716329 ISBN 13: 9780824716325
Publisher: Routledge, 1982

Synopsis

First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)

"synopsis" may belong to another edition of this title.

About the Author

Carl Faith

From the Back Cover

Part I, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules].

"About this title" may belong to another edition of this title.

Publisher
Routledge
Publication date
1982
Language
English
ISBN 10 
0824716329
ISBN 13 
9780824716325
Binding
Paperback
Edition number
1
Number of pages
120