A course in algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific
©2000
|
| Subjects: | |
| Online Access: | FAW01 FAW02 |
| Item Description: | Includes index 1 - Preliminaries - 1 -- - 1.1 - Sets - 1 -- - 1.2 - Logic - 4 -- - 1.3 - Relations - 7 -- - 1.5 - Zorn's Lemma - 18 -- - 2 - Groups - 19 -- - 2.1 - Transformations and Permutations - 19 -- - 2.2 - Groups - 27 -- - 2.3 - Subgroups - 35 -- - 2.4 - Homomorphisms, Isomorphisms - 39 -- - 2.5 - Cosets - 45 -- - 2.6 - Normal Subgroups, Quotient Groups - 49 -- - 2.7 - Homomorphism Theorems - 52 -- - 2.8 - Cyclic Groups, Orders of Elements - 56 -- - 2.9 - Direct Products - 62 -- - 3 - Rings - 71 -- - 3.1 - Fundamentals - 71 -- - 3.2 - Zero Divisors, Invertible Elements - 77 -- - 3.3 - Ideals, Residue Rings - 81 -- - 3.4 - Homomorphism Theorems - 86 -- - 3.5 - Prime Ideals, Maximal Ideals - 89 -- - 3.6 - Direct Sums - 93 -- - 3.7 - Fraction Fields of Integral Domains - 97 -- - 3.8 - Polynomial Rings - 101 -- - 3.9 - Factorial Domains - 110 -- - 3.10 - Polynomial Rings over Factorial Rings - 117 -- - 4 - Modules - 123 -- - 4.1 - Modules - 123 -- - 4.2 - Homomorphisms - 127 -- - 4.3 - Direct Products, Direct Sums - 133 -- - 4.4 - Exact Sequences of Homomorphisms - 137 -- - 4.5 - Free Modules, Matrices over Rings - 142 -- - 4.6 - Matrices over Division Rings 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 |
| Physical Description: | x, 246 pages |
| ISBN: | 9789812815095 9812815090 9810240619 9789810240615 |
Staff View
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Record in the Search Index
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| any_adam_object | |
| author | Fan, Yun |
| author_facet | Fan, Yun |
| author_role | aut |
| author_sort | Fan, Yun |
| author_variant | y f yf |
| building | Verbundindex |
| bvnumber | BV043774778 |
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| dewey-full | 512/.02 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.02 |
| dewey-search | 512/.02 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043774778 |
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| indexdate | 2024-07-10T07:34:45Z |
| institution | BVB |
| isbn | 9789812815095 9812815090 9810240619 9789810240615 |
| language | English |
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| physical | x, 246 pages |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2000 |
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| publishDateSort | 2000 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Fan, Yun Verfasser aut A course in algebra Yun Fan, Q.Y. Xiong, Y.L. Zheng Singapore World Scientific ©2000 x, 246 pages txt rdacontent c rdamedia cr rdacarrier Includes index 1 - Preliminaries - 1 -- - 1.1 - Sets - 1 -- - 1.2 - Logic - 4 -- - 1.3 - Relations - 7 -- - 1.5 - Zorn's Lemma - 18 -- - 2 - Groups - 19 -- - 2.1 - Transformations and Permutations - 19 -- - 2.2 - Groups - 27 -- - 2.3 - Subgroups - 35 -- - 2.4 - Homomorphisms, Isomorphisms - 39 -- - 2.5 - Cosets - 45 -- - 2.6 - Normal Subgroups, Quotient Groups - 49 -- - 2.7 - Homomorphism Theorems - 52 -- - 2.8 - Cyclic Groups, Orders of Elements - 56 -- - 2.9 - Direct Products - 62 -- - 3 - Rings - 71 -- - 3.1 - Fundamentals - 71 -- - 3.2 - Zero Divisors, Invertible Elements - 77 -- - 3.3 - Ideals, Residue Rings - 81 -- - 3.4 - Homomorphism Theorems - 86 -- - 3.5 - Prime Ideals, Maximal Ideals - 89 -- - 3.6 - Direct Sums - 93 -- - 3.7 - Fraction Fields of Integral Domains - 97 -- - 3.8 - Polynomial Rings - 101 -- - 3.9 - Factorial Domains - 110 -- - 3.10 - Polynomial Rings over Factorial Rings - 117 -- - 4 - Modules - 123 -- - 4.1 - Modules - 123 -- - 4.2 - Homomorphisms - 127 -- - 4.3 - Direct Products, Direct Sums - 133 -- - 4.4 - Exact Sequences of Homomorphisms - 137 -- - 4.5 - Free Modules, Matrices over Rings - 142 -- - 4.6 - Matrices over Division Rings 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 MATHEMATICS / Algebra / Abstract bisacsh Algebra, Abstract fast Algebra gtt Álgebra larpcal Álgebra abstrata larpcal Algebra swd Einführung swd Algebra, Abstract Algebra (DE-588)4001156-2 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Algebra (DE-588)4001156-2 s 2\p DE-604 Xiong, Q. Y. Sonstige oth Zheng, Y. L. Sonstige oth 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fan, Yun A course in algebra MATHEMATICS / Algebra / Abstract bisacsh Algebra, Abstract fast Algebra gtt Álgebra larpcal Álgebra abstrata larpcal Algebra swd Einführung swd Algebra, Abstract Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4151278-9 |
| title | A course in algebra |
| title_auth | A course in algebra |
| title_exact_search | A course in algebra |
| title_full | A course in algebra Yun Fan, Q.Y. Xiong, Y.L. Zheng |
| title_fullStr | A course in algebra Yun Fan, Q.Y. Xiong, Y.L. Zheng |
| title_full_unstemmed | A course in algebra Yun Fan, Q.Y. Xiong, Y.L. Zheng |
| title_short | A course in algebra |
| title_sort | a course in algebra |
| topic | MATHEMATICS / Algebra / Abstract bisacsh Algebra, Abstract fast Algebra gtt Álgebra larpcal Álgebra abstrata larpcal Algebra swd Einführung swd Algebra, Abstract Algebra (DE-588)4001156-2 gnd |
| topic_facet | MATHEMATICS / Algebra / Abstract Algebra, Abstract Algebra Álgebra Álgebra abstrata Einführung |
| work_keys_str_mv | AT fanyun acourseinalgebra AT xiongqy acourseinalgebra AT zhengyl acourseinalgebra |