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Introductroy Abstract Algebras

지은이	:	Ki-Bong Nam, Xqeqing Chen, Moon-Ok Wang, Ki-Suk Lee

출판사	:	경문사

페이지수	:	272

ISBN	:	978-89-6105-423-2


예상출고일	:	입금확인후 2일 이내

주문수량	:	개

도서가격	:	품절

Ki-Bong Nam
University of Wisconsin뻎hitewater

Xueqing Chen
University of Wisconsin뻎hitewater

Moon-Ok Wang
Hanyang University, Korea

Ki-Suk Lee
Korea National University of Education

Contents
1 Preliminaries 5
1.1 Equivalence Relations 10
1.2 Mathematical Induction 13
1.3 Functions 17

2 Basic Group Theory 23

3 Basic Properties of Groups 33

4 Normal Subgroups and Lagrange Theorem 41

5 Homomorphisms and Isomorphisms 49

6 Cyclic Groups 61

7 Permutation Groups 69

8 Automorphisms 83

9 Abelian Groups 91

10 Products 95

11 Sylow Theorem 101

12 Basic Ring Theory 109

13 More Rings 119

14 Polynomial Rings 129

15 Ideals and Factor Rings 137

16 Ring Homomorphisms 151

17 Factorizations of Polynomials 161

18 Euclidean Domains 177

19 Factorizations in an Integral Domain 183

20 Vector Spaces 191
20.1Vector Spaces 191
20.2 Subspaces 197
20.3 Basis of a Vector Space 202

21 Basic Field Theory 211

22 Field Extensions 217

23 Algebraic Extensions 229

24 Construction with Ruler and Compass 241

25 Separable and Inseparable Extensions 245

26 Galois Theory 251

Bibliography 263