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230209s2012 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCO
|d OCLCQ
|d EBLCP
|d OCLCL
|d OCLCQ
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020 |
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|a 9781118347874
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|a 1118347870
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|a (OCoLC)1347023732
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049 |
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|a UAMI
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1 |
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|a Nicholson, W. Keith.
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|a Solutions Manual to Accompany Introduction to Abstract Algebra, 4e, Solutions Manual
|h [electronic resource].
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260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2012.
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300 |
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|a 1 online resource (160 p.).
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490 |
1 |
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|a New York Academy of Sciences Ser.
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500 |
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|a Description based upon print version of record.
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|a Cover -- Title Page -- Copyright -- Contents -- Chapter 0: Preliminaries -- 0.1 Proofs -- 0.2 Sets -- 0.3 Mappings -- 0.4 Equivalences -- Chapter 1: Integers and Permutations -- 1.1 Induction -- 1.2 Divisors and Prime Factorization -- 1.3 Integers Modulo n -- 1.4 Permutations -- Chapter 2: Groups -- 2.1 Binary Operations -- 2.2 Groups -- 2.3 Subgroups -- 2.4 Cyclic Groups and the Order of an Element -- 2.5 Homomorphisms and Isomorphisms -- 2.6 Cosets and Lagrange's Theorem -- 2.7 Groups of Motions and Symmetries -- 2.8 Normal Subgroups -- 2.9 Factor Groups -- 2.10 The Isomorphism Theorem
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|a 2.11 An Application to Binary Linear Codes -- Chapter 3: Rings -- 3.1 Examples and Basic Properties -- 3.2 Integral Domains and Fields -- 3.3 Ideals and Factor Rings -- 3.4 Homomorphisms -- 3.5 Ordered Integral Domains -- Chapter 4: Polynomials -- 4.1 Polynomials -- 4.2 Factorization of Polynomials over a Field -- 4.3 Factor Rings of Polynomials over a Field -- 4.4 Partial Fractions -- 4.5 Symmetric Polynomials -- Chapter 5: Factorization in Integral Domains -- 5.1 Irreducibles and Unique Factorization -- 5.2 Principal Ideal Domains -- Chapter 6: Fields -- 6.1 Vector Spaces
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|a 6.2 Algebraic Extensions -- 6.3 Splitting Fields -- 6.4 Finite Fields -- 6.5 Geometric Constructions -- 6.7 An Application to Cyclic and Bch Codes -- Chapter 7: Modules over Principal Ideal Domains -- 7.1 Modules -- 7.2 Modules over a Principal Ideal Domain -- Chapter 8: P-groups and the Sylow Theorems -- 8.1 Products and Factors -- 8.2 Cauchy's Theorem -- 8.3 Group Actions -- 8.4 The Sylow Theorems -- 8.5 Semidirect Products -- 8.6 An Application to Combinatorics -- Chapter 9: Series of Subgroups -- 9.1 The Jordan-Hölder Theorem -- 9.2 Solvable Groups -- 9.3 Nilpotent Groups
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|a Chapter 10: Galois Theory -- 10.1 Galois Groups and Separability -- 10.2 The Main Theorem of Galois Theory -- 10.3 Insolvability of Polynomials -- 10.4 Cyclotomic Polynomials and Wedderburn's Theorem -- Chapter 11: Finiteness Conditions for Rings and Modules -- 11.1 Wedderburn's Theorem -- 11.2 The Wedderburn-artin Theorem -- Appendices -- Appendix A: Complex Numbers -- Appendix B: Matrix Arithmetic -- Appendix C: Zorn's Lemma
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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655 |
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0 |
|a Electronic books.
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758 |
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|i has work:
|a Solutions Manual to accompany Introduction to Abstract Algebra, 4e, Solutions Manual (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCYMR87x3mpMxxHRWKF8cT3
|4 https://id.oclc.org/worldcat/ontology/hasWork
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776 |
0 |
8 |
|i Print version:
|a Nicholson, W. Keith
|t Solutions Manual to Accompany Introduction to Abstract Algebra, 4e, Solutions Manual
|d Newark : John Wiley & Sons, Incorporated,c2012
|z 9781118288153
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830 |
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0 |
|a New York Academy of Sciences Ser.
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856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7103567
|z Texto completo
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938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7103567
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994 |
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|a 92
|b IZTAP
|