Infinite abelian groups Irving Kaplansky.

Kaplansky, Irving

ISBN 10: 047208500X / ISBN 13: 9780472085002

Published by Ann Arbor, The University of Michigan Press [1971]., 1971

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 20 KAP 9780472085002 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2497818

Bibliographic Details

• Title: Infinite abelian groups Irving Kaplansky.
• Publisher: Ann Arbor, The University of Michigan Press [1971].
• Publication Date: 1971
• Language: English
• ISBN 10: 047208500X
• ISBN 13: 9780472085002
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

In the Introduction to this concise monograph, the author states his two main first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory.Starting with examples of abelian groups, the treatment explores torsion groups, Zorn's lemma, divisible groups, pure subgroups, groups of bounded order, and direct sums of cyclic groups. Subsequent chapters examine Ulm's theorem, modules and linear transformations, Banach spaces, valuation rings, torsion-free and complete modules, algebraic compactness, characteristic submodules, and the ring of endomorphisms. Many exercises appear throughout the book, along with a guide to the literature and a detailed bibliography.