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

Book 82 of 142: Lecture Notes in Pure and Applied Mathematics

Faith, Carl

 
9780824716325: Injective Modules and Injective Quotient Rings (Lecture Notes in Pure and Applied Mathematics)

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 .)

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About the Author

Carl Faith

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