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.
"synopsis" may belong to another edition of this title.
FREE shipping within U.S.A.
Destination, rates & speedsSeller: Better World Books: West, Reno, NV, U.S.A.
Condition: Good. Used book that is in clean, average condition without any missing pages. Seller Inventory # 53394246-75
Quantity: 1 available
Seller: Qwertyword Ltd, Okehampton, DEVON, United Kingdom
Soft cover. Condition: Good. 2nd Edition. 2nd printing 1971 (revised edition). Matt paper cover with fading along the spine and some surface and edge wear. Name in front cover. Text read but unmarked. Seller Inventory # 697RUS151
Quantity: 1 available
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Softcover. 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
Quantity: 1 available