Almost free modules : set-theoretic methods
Author(s)
Bibliographic Information
Almost free modules : set-theoretic methods
（North-Holland mathematical library, v. 46）
North-Holland , Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1990
Available at / 41 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:512/Ek562070154154
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Note
Bibliography: p. [456]-476
Includes index
Description and Table of Contents
Description
This is an extended treatment of the set-theoretic techniques which have transformed the study of abelian group and module theory over the last 15 years. Part of the book is new work which does not appear elsewhere in any form. In addition, a large body of material which has appeared previously (in scattered and sometimes inaccessible journal articles) has been extensively reworked and in many cases given new and improved proofs. The set theory required is carefully developed with algebraists in mind, and the independence results are derived from explicitly stated axioms. The book contains exercises and a guide to the literature and is suitable for use in graduate courses or seminars, as well as being of interest to researchers in algebra and logic.
Table of Contents
Algebraic Preliminaries. Set Theory. Slender Modules. Almost Free Modules. Pure-Injective Modules. More Set Theory. Almost Free Modules Revisited. Countably-Separable Groups. Quotients of Products of the Integers. Iterated Sums and Products. Topological Methods. The Structure of EXT. The Black Box and Endomorphism Rings. Dual Groups. Open Problems. Bibliography. Index.
by "Nielsen BookData"
