The Resource Infinite Abelian groups

Infinite Abelian groups

Label
Infinite Abelian groups
Title
Infinite Abelian groups
Creator
Subject
Genre
Language
eng
Summary
In the Introduction to this concise monograph, the author states his two main goals: 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
Member of
Cataloging source
Midwest
http://bibfra.me/vocab/lite/collectionName
hoopla (Digital media service)
http://library.link/vocab/creatorDate
1917-2006
http://library.link/vocab/creatorName
Kaplansky, Irving
Dewey number
512.86
Index
no index present
Literary form
non fiction
Nature of contents
dictionaries
Series statement
University of Michigan publications in mathematics
Series volume
2
http://library.link/vocab/subjectName
Abelian groups
Target audience
adult
Label
Infinite Abelian groups
Link
Instantiates
Publication
Distribution
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Control code
MWT12283150
Dimensions
unknown
Extent
1 online resource.
Form of item
  • online
  • electronic
Governing access note
Digital content provided by hoopla
Isbn
9780486836454
Isbn Type
(electronic bk.)
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Publisher number
MWT12283150
Specific material designation
remote
Stock number
12283150
System details
Mode of access: World Wide Web
Label
Infinite Abelian groups
Link
Publication
Distribution
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Control code
MWT12283150
Dimensions
unknown
Extent
1 online resource.
Form of item
  • online
  • electronic
Governing access note
Digital content provided by hoopla
Isbn
9780486836454
Isbn Type
(electronic bk.)
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Publisher number
MWT12283150
Specific material designation
remote
Stock number
12283150
System details
Mode of access: World Wide Web

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