The Resource Algebra : A Teaching and Source Book, by Ernest Shult, David Surowski, (electronic resource)

Algebra : A Teaching and Source Book, by Ernest Shult, David Surowski, (electronic resource)

Label
Algebra : A Teaching and Source Book
Title
Algebra
Title remainder
A Teaching and Source Book
Statement of responsibility
by Ernest Shult, David Surowski
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan–Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student
http://library.link/vocab/creatorName
Shult, Ernest
Image bit depth
0
LC call number
QA251.5
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Surowski, David.
  • SpringerLink
http://library.link/vocab/subjectName
  • Mathematics
  • Algebra
  • Field theory (Physics)
  • Group theory
  • Mathematics
  • Associative Rings and Algebras
  • Group Theory and Generalizations
  • Field Theory and Polynomials
  • Algebra
Label
Algebra : A Teaching and Source Book, by Ernest Shult, David Surowski, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Basics -- Basic Combinatorial Principles of Algebra -- Review of Elementary Group Properties -- Permutation Groups and Group Actions -- Normal Structure of Groups -- Generation in Groups -- Elementary Properties of Rings -- Elementary properties of Modules -- The Arithmetic of Integral Domains -- Principal Ideal Domains and Their Modules -- Theory of Fields -- Semiprime Rings -- Tensor Products
Dimensions
unknown
Extent
XXII, 539 p. 6 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319197340
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-19734-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-19734-0
Label
Algebra : A Teaching and Source Book, by Ernest Shult, David Surowski, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Basics -- Basic Combinatorial Principles of Algebra -- Review of Elementary Group Properties -- Permutation Groups and Group Actions -- Normal Structure of Groups -- Generation in Groups -- Elementary Properties of Rings -- Elementary properties of Modules -- The Arithmetic of Integral Domains -- Principal Ideal Domains and Their Modules -- Theory of Fields -- Semiprime Rings -- Tensor Products
Dimensions
unknown
Extent
XXII, 539 p. 6 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319197340
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-19734-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-19734-0

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