Abelian Groups - 5 Angebote vergleichen

Lieferung aus: Vereinigte Staaten von Amerika, E-Book zum download.
Mathematics, Abelian Groups deals with the theory of abelian or commutative groups, with special emphasis on results concerning structure problems. More than 500 exercises of varying degrees of difficulty, with and without hints, are included. Some of the exercises illuminate the theorems cited in the text by providing alternative developments, proofs or counterexamples of generalizations. Comprised of 16 chapters, this volume begins with an overview of the basic facts on group theory such as factor group or homomorphism. The discussion then turns to direct sums of cyclic groups, divisible groups, and direct summands and pure subgroups, as well as Kulikov's basic subgroups. Subsequent chapters focus on the structure theory of the three main classes of abelian groups: the primary groups, the torsion-free groups, and the mixed groups. Applications of the theory are also considered, along with other topics such as homomorphism groups and endomorphism rings; the Schreier extension theory with a discussion of the group of extensions and the structure of the tensor product. In addition, the book examines the theory of the additive group of rings and the multiplicative group of fields, along with Baer's theory of the lattice of subgroups. This book is intended for young research workers and students who intend to familiarize themselves with abelian groups. eBook.

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Von Händler/Antiquariat, _nearfine_.
Written by one of the subject’s foremost experts, this book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the non-specialist. It provides a coherent source for results scattered throughout the research literature with lots of new proofs.The presentation highlights major trends that have radically changed the modern character of the subject, in particular, the use of homological methods in the structure theory of various classes of abelian groups, and the use of advanced set-theoretical methods in the study of un decidability problems. The treatment of the latter trend includes Shelah’s seminal work on the un decidability in ZFC of Whitehead’s Problem; while the treatment of the former trend includes an extensive (but non-exhaustive) study of p-groups, torsion-free groups, mixed groups and important classes of groups arising from ring theory. To prepare the reader to tackle these topics, the book reviews the fundamentals of abelian group theory and provides some background material from category theory, set theory, topology and homological algebra.An abundance of exercises are included to test the reader’s comprehension, and to explore noteworthy extensions and related sidelines of the main topics. A list of open problems and questions, in each chapter, invite the reader to take an active part in the subject’s further development., Hardcover, Ausgabe: First Edition, Format: Import, Label: Pergamon, Pergamon, Produktgruppe: Book, Publiziert: 1960, Studio: Pergamon, Verkaufsrang: 5235285.

Lieferung aus: Vereinigte Staaten von Amerika, zzgl. Versandkosten, Verandgebiet: DOM.
Von Händler/Antiquariat, booklab, VA, Chantilly, [RE:4].
Great customer service. You will be happy! Hardcover, 3rd ed.

Lieferung aus: Vereinigte Staaten von Amerika, zzgl. Versandkosten, Verandgebiet: DOM.
Von Händler/Antiquariat, Marvel Books, CT, Ridgefield, [RE:3].
Hard cover, 3rd ed.

Lieferung aus: Vereinigte Staaten von Amerika, zzgl. Versandkosten, Verandgebiet: DOM.
Von Händler/Antiquariat, More Books, FL, MIAMI, [RE:3].
Hardcover, 3rd ed.