000			01590nam a2200169 4500
008			210630b2020 ||||| |||| 00| 0 eng d
020			_a9780000988348
082			_a512 EIE-M
100			_aEie, Minking
245			_aA course on abstract algebra / _cMinking Eie and Shou-Te Chang
250			_a2nd ed.
260			_aSingapore _bWorld Scientific Publishing _c2020
300			_a417 p.
365			_aINR _b995.00.
500			_aThis textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the authors’ notes at the Department of Mathematics, National Chung Cheng University, it contains material sufficient for three semesters of study. It begins with a description of the algebraic structures of the ring of integers and the field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange’s theorem and Sylow’s theorems follow as applications of group theory. The theory of rings and ideals forms the second part of this textbook, with the ring of integers, the polynomial rings and matrix rings as basic examples. Emphasis will be on factorization in a factorial domain. The final part of the book focuses on field extensions and Galois theory to illustrate the correspondence between Galois groups and splitting fields of separable polynomials. The textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra.
650			_aAlgebra, Abstract
999			_c66537 _d66537