大葉大學圖書館 |

Abelian groups[electronic resource] /

纪录类型:	书目-语言数据,印刷品 : Monograph/item
[NT 15000414] null:	515.25
[NT 47271] Title/Author:	Abelian groups/ by Laszlo Fuchs.
作者:	Fuchs, Laszlo.
出版者:	Cham : : Springer International Publishing :, 2015.
面页册数:	xxi, 747 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
标题:	Abelian groups.
标题:	Mathematics.
标题:	Group Theory and Generalizations.
标题:	Commutative Rings and Algebras.
标题:	Category Theory, Homological Algebra.
ISBN:	9783319194226
ISBN:	9783319194219
[NT 15000228] null:	Fundamentals -- Direct Sums -- Direct Sums of Cyclic Groups -- Divisibility and Injectivity -- Purity and Basic Subgroups -- Algebraically Compact Groups -- Homomorphism Groups -- Tensor and Torsion Products -- Groups of Extensions and Cotorsion Groups -- Torsion Groups -- p-Groups with Elements of Infinite Height -- Torsion-free Groups -- Torsion-free Groups of Infinite Rank -- Butler Groups -- Mixed Groups -- Endomorphism Rings -- Automorphism groups -- Groups in Rings and in Fields.
[NT 15000229] null:	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 undecidability problems. The treatment of the latter trend includes Shelah's seminal work on the undecidability 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.
电子资源:	http://dx.doi.org/10.1007/978-3-319-19422-6

Abelian groups[electronic resource] /
Fuchs, Laszlo.

Abelian groups[electronic resource] /by Laszlo Fuchs. - Cham :Springer International Publishing :2015. - xxi, 747 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

Fundamentals -- Direct Sums -- Direct Sums of Cyclic Groups -- Divisibility and Injectivity -- Purity and Basic Subgroups -- Algebraically Compact Groups -- Homomorphism Groups -- Tensor and Torsion Products -- Groups of Extensions and Cotorsion Groups -- Torsion Groups -- p-Groups with Elements of Infinite Height -- Torsion-free Groups -- Torsion-free Groups of Infinite Rank -- Butler Groups -- Mixed Groups -- Endomorphism Rings -- Automorphism groups -- Groups in Rings and in Fields.

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 undecidability problems. The treatment of the latter trend includes Shelah's seminal work on the undecidability 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.

ISBN: 9783319194226

Standard No.: 10.1007/978-3-319-19422-6doiSubjects--Topical Terms:

467524
Abelian groups.

LC Class. No.: QA180

Dewey Class. No.: 515.25

Abelian groups[electronic resource] /
LDR:02911nam a2200325 a 4500 001 444652
003 DE-He213
005 20160512135217.0
006 m d
007 cr nn 008maaau
008 160715s2015 gw s 0 eng d
020 $a 9783319194226 $q (electronic bk.)
020 $a 9783319194219 $q (paper)
024 7 $a 10.1007/978-3-319-19422-6 $2 doi
035 $a 978-3-319-19422-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA180
072 7 $a PBG $2 bicssc
072 7 $a MAT002010 $2 bisacsh
082 0 4 $a 515.25 $2 23
090 $a QA180 $b .F951 2015
100 1 $a Fuchs, Laszlo. $3 636348
245 1 0 $a Abelian groups $h [electronic resource] / $c by Laszlo Fuchs.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xxi, 747 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a Fundamentals -- Direct Sums -- Direct Sums of Cyclic Groups -- Divisibility and Injectivity -- Purity and Basic Subgroups -- Algebraically Compact Groups -- Homomorphism Groups -- Tensor and Torsion Products -- Groups of Extensions and Cotorsion Groups -- Torsion Groups -- p-Groups with Elements of Infinite Height -- Torsion-free Groups -- Torsion-free Groups of Infinite Rank -- Butler Groups -- Mixed Groups -- Endomorphism Rings -- Automorphism groups -- Groups in Rings and in Fields.
520 $a 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 undecidability problems. The treatment of the latter trend includes Shelah's seminal work on the undecidability 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.
650 0 $a Abelian groups. $3 467524
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Group Theory and Generalizations. $3 464956
650 2 4 $a Commutative Rings and Algebras. $3 464925
650 2 4 $a Category Theory, Homological Algebra. $3 464923
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Springer monographs in mathematics. $3 464117
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-19422-6
950 $a Mathematics and Statistics (Springer-11649)