This text introduces readers to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each. Number Theory: Induction; Binomial Coefficients; Greatest Common Divi
在抽象代数中,交换代数旨在探讨交换环及其理想,以及交换环上的模Contents
Introduction
for the bes
r
2
requisites
6
a First Cot
ourse
howled e
0 Elementary Definitions
11
0. 1 Ringy and Ides
0.2 Unique Factorization
0 3 Modules
Basic constructions
19
1 Roots of c
tative Algebra
21
1.
交换代数GTM256.A.Course.in.Commutative AlgebraTo Idaleixis and martin
Contents
Introduction
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Part I The Algebra geometry Lexicon
1 Hilbert's nullstellensatz
17
1.1 Maximal ideals
18
1.2 Jacobson rin
1. 3 Coordinate rings
26
E
xercises
2 Noetherian an
