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|d OCLCQ
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|a 972037354
|a 985043915
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|a 9783319197340
|q (electronic bk.)
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|q (electronic bk.)
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| 020 |
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|z 9783319197333
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7 |
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|a 10.1007/978-3-319-19734-0
|2 doi
|
| 035 |
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|a (OCoLC)914232996
|z (OCoLC)972037354
|z (OCoLC)985043915
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| 050 |
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4 |
|a QA152.3
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| 072 |
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|a PBF
|2 bicssc
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| 072 |
|
7 |
|a MAT002010
|2 bisacsh
|
| 049 |
|
|
|a MAIN
|
| 100 |
1 |
|
|a Shult, Ernest,
|e author.
|1 http://viaf.org/viaf/317072865
|
| 245 |
1 |
0 |
|a Algebra :
|b a teaching and source book /
|c Ernest Shult, David Surowski.
|
| 264 |
|
1 |
|a Cham :
|b Springer,
|c 2015.
|
| 300 |
|
|
|a 1 online resource (xxii, 539 pages) :
|b illustrations
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/c
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/cr
|
| 347 |
|
|
|a text file
|b PDF
|2 rda
|
| 504 |
|
|
|a Includes bibliographical references and index.
|
| 588 |
0 |
|
|a Online resource; title from PDF title page (SpringerLink, viewed July 21, 2015).
|
| 505 |
0 |
|
|a 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.
|
| 520 |
|
|
|a 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.
|
| 650 |
|
0 |
|a Algebra.
|0 http://id.loc.gov/authorities/subjects/sh85003425
|
| 650 |
2 |
4 |
|a Group Theory and Generalizations.
|
| 650 |
2 |
4 |
|a Field Theory and Polynomials.
|
| 650 |
2 |
4 |
|a Algebra.
|
| 650 |
|
7 |
|a Algebra.
|2 fast
|0 (OCoLC)fst00804885
|
| 655 |
|
4 |
|a Electronic books.
|
| 700 |
1 |
|
|a Surowski, David,
|d 1949-
|e author.
|0 http://id.loc.gov/authorities/names/n00094830
|1 http://viaf.org/viaf/317072883
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9783319197333
|
| 830 |
|
0 |
|a Online access with purchase: Springer (t)
|
| 856 |
4 |
0 |
|u http://link.springer.com/10.1007/978-3-319-19734-0
|y SpringerLink
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| 929 |
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| 928 |
|
|
|t Library of Congress classification
|a QA152.3
|l Online
|c UC-FullText
|u http://link.springer.com/10.1007/978-3-319-19734-0
|z SpringerLink
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|i 9909572
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