Algebra II 代数学 II
Algebra II 代数学 II
Embedded Files
Course Description
Course Description
Introduction to modern algebra. Includes group theory and ring theory. One period of lecture and two periods of recitation weekly. Prerequisite: LINEAR ALGEBRA. Recommended to be taken after BASIC CONCEPTS IN MATHEMATICS I.
現代代数学の基礎を学ぶ。群論，環論など。 毎週講義1時限，演習2時限。線形代数学を既修のこと。さらに数学通論 I の既修が望ましい。
Contents of Lectures 27 Lectures / 13 Videos
Sep 07 Lecture 1. Introduction to Rings
Sep 07 Lecture 1. Introduction to Rings
Sep 12 Lecture 2. Integral Domains
Sep 12 Lecture 2. Integral Domains
Sep 17 Lecture 3. Ideals and Factor Rings
Sep 17 Lecture 3. Ideals and Factor Rings
Sep 26 Lecture 4. Ring Homomorphisms
Sep 26 Lecture 4. Ring Homomorphisms
Oct 01 No Class due to Typhoon 24
Oct 01 No Class due to Typhoon 24
Oct 03 Lecture 5. Polynomial Rings
Oct 03 Lecture 5. Polynomial Rings
Oct 08 Lecture 6-1. Factorization of Polynomials I
Oct 08 Lecture 6-1. Factorization of Polynomials I
Oct 10 Lecture 6-2. Factorization of Polynomials II
Oct 10 Lecture 6-2. Factorization of Polynomials II
Oct 15 Lecture 7-1. Divisibility in Integral Domains I
Oct 15 Lecture 7-1. Divisibility in Integral Domains I
Oct 17 Lecture 7-2. Divisibility in Integral Domains II R
Oct 17 Lecture 7-2. Divisibility in Integral Domains II R
Oct 29 Lecture 9-1. Extension Fields I
Oct 29 Lecture 9-1. Extension Fields I
Oct 31 Lecture 9-2. Extension Fields II
Oct 31 Lecture 9-2. Extension Fields II
Nov 05 Lecture 10-1. Algebraic Extensions I
Nov 05 Lecture 10-1. Algebraic Extensions I
Nov 07 Lecture 10-2. Algebraic Extensions II
Nov 07 Lecture 10-2. Algebraic Extensions II
Nov 12 Review
Nov 12 Review
Review and Exams
Textbook for Algebra I and II
Joseph A. Gallian, Contemporary Abstract Algebra – 8th Edition – International Edition — Paper back ISBN-13: 978-1-133-60675-8
Instructor: SUZUKI‚ Hiroshi 鈴木寛（ ICU Professor Emeritus 国際基督教大学 名誉教授） | Language of Instruction: E
Major: Mathematics 数学 | Course ID: MTH332 | Course Schedule: 2/M, 2/W, 2/F | Update: 2019.01.17 Category: Major Courses
Page updated
Report abuse