Cargando…
A course in algebra /
This volume is based on the lectures given by the authors at Wuhan University and Hubei University in courses on abstract algebra. It presents the fundamental concepts and basic properties of groups, rings, modules and fields, including the interplay between them and other mathematical branches and...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, N.J. :
World Scientific,
©2000.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn828423933 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 130225s2000 si a o 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d E7B |d I9W |d OCLCF |d YDXCP |d OCLCQ |d AGLDB |d COO |d OCLCQ |d VTS |d STF |d M8D |d OCLCO |d UKAHL |d OCLCA |d AJS |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 1086515780 | ||
| 020 | |a 9789812815095 |q (electronic bk.) | ||
| 020 | |a 9812815090 |q (electronic bk.) | ||
| 020 | |z 9810240619 | ||
| 020 | |z 9789810240615 | ||
| 029 | 1 | |a DEBBG |b BV043774778 | |
| 029 | 1 | |a DEBSZ |b 472771426 | |
| 035 | |a (OCoLC)828423933 |z (OCoLC)1086515780 | ||
| 050 | 4 | |a QA162 |b .F36 2000eb | |
| 072 | 7 | |a MAT |x 002010 |2 bisacsh | |
| 082 | 0 | 4 | |a 512/.02 |2 22 |
| 084 | |a 31.20 |2 bcl | ||
| 084 | |a SK 200 |2 rvk | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Fan, Yun. | |
| 245 | 1 | 2 | |a A course in algebra / |c Yun Fan, Q.Y. Xiong, Y.L. Zheng. |
| 260 | |a Singapore ; |a River Edge, N.J. : |b World Scientific, |c ©2000. | ||
| 300 | |a 1 online resource (x, 246 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 500 | |a Includes index. | ||
| 505 | 0 | 0 | |g 1 |t Preliminaries |g 1 -- |g 1.1 |t Sets |g 1 -- |g 1.2 |t Logic |g 4 -- |g 1.3 |t Relations |g 7 -- |g 1.5 |t Zorn's Lemma |g 18 -- |g 2 |t Groups |g 19 -- |g 2.1 |t Transformations and Permutations |g 19 -- |g 2.2 |t Groups |g 27 -- |g 2.3 |t Subgroups |g 35 -- |g 2.4 |t Homomorphisms, Isomorphisms |g 39 -- |g 2.5 |t Cosets |g 45 -- |g 2.6 |t Normal Subgroups, Quotient Groups |g 49 -- |g 2.7 |t Homomorphism Theorems |g 52 -- |g 2.8 |t Cyclic Groups, Orders of Elements |g 56 -- |g 2.9 |t Direct Products |g 62 -- |g 3 |t Rings |g 71 -- |g 3.1 |t Fundamentals |g 71 -- |g 3.2 |t Zero Divisors, Invertible Elements |g 77 -- |g 3.3 |t Ideals, Residue Rings |g 81 -- |g 3.4 |t Homomorphism Theorems |g 86 -- |g 3.5 |t Prime Ideals, Maximal Ideals |g 89 -- |g 3.6 |t Direct Sums |g 93 -- |g 3.7 |t Fraction Fields of Integral Domains |g 97 -- |g 3.8 |t Polynomial Rings |g 101 -- |g 3.9 |t Factorial Domains |g 110 -- |g 3.10 |t Polynomial Rings over Factorial Rings |g 117 -- |g 4 |t Modules |g 123 -- |g 4.1 |t Modules |g 123 -- |g 4.2 |t Homomorphisms |g 127 -- |g 4.3 |t Direct Products, Direct Sums |g 133 -- |g 4.4 |t Exact Sequences of Homomorphisms |g 137 -- |g 4.5 |t Free Modules, Matrices over Rings |g 142 -- |g 4.6 |t Matrices over Division Rings |g 150 -- |g 4.7 |t Matrices over Commutative Rings |g 159 -- |g 4.8 |t Algebras over Commutative Rings |g 164 -- |g 4.9 |t Tensor Products |g 171 -- |g 4.10 |t Projective Modules, Injective Modules |g 176 -- |g 5 |t Fields |g 183 -- |g 5.1 |t Subfields and Extensions |g 183 -- |g 5.2 |t Single Extensions |g 187 -- |g 5.3 |t Algebraic Extensions |g 192 -- |g 5.4 |t Splitting Fields, Normal Extensions |g 196 -- |g 5.5 |t Two Applications |g 202 -- |g 5.6 |t Separability, Multiple Roots |g 207 -- |g 5.7 |t Finite Fields |g 215 -- |g 5.8 |t Coding |g 220 -- |g 5.9 |t p-adic Numbers |g 229 -- |g 5.10 |t Quaternions |g 238. |
| 588 | 0 | |a Print version record. | |
| 520 | |a This volume is based on the lectures given by the authors at Wuhan University and Hubei University in courses on abstract algebra. It presents the fundamental concepts and basic properties of groups, rings, modules and fields, including the interplay between them and other mathematical branches and applied aspects. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Algebra, Abstract. | |
| 650 | 6 | |a Algèbre abstraite. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Abstract. |2 bisacsh | |
| 650 | 7 | |a Algebra, Abstract |2 fast | |
| 650 | 7 | |a Algebra |2 gnd | |
| 650 | 7 | |a Einführung |2 gnd | |
| 650 | 1 | 7 | |a Algebra. |2 gtt |
| 650 | 7 | |a Álgebra. |2 larpcal | |
| 650 | 7 | |a Álgebra abstrata. |2 larpcal | |
| 700 | 1 | |a Xiong, Q. Y. | |
| 700 | 1 | |a Zheng, Y. L. | |
| 776 | 0 | 8 | |i Print version: |a Fan, Yun. |t Course in algebra. |d Singapore ; River Edge, N.J. : World Scientific, ©2000 |z 9810240619 |w (DLC) 99053874 |w (OCoLC)42726140 |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=532645 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH25589428 | ||
| 938 | |a ebrary |b EBRY |n ebr10699183 | ||
| 938 | |a EBSCOhost |b EBSC |n 532645 | ||
| 938 | |a YBP Library Services |b YANK |n 10252933 | ||
| 994 | |a 92 |b IZTAP | ||