Algebra II 代数学 II

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

Basic Information

Sep 07 Lecture 1. Introduction to Rings

Sep 10 Recitation Ex. 12 (Volunteers)

Sep 12 Lecture 2. Integral Domains

Sep 14 Recitation Ex. 13 (Volunteers)

Sep 17 Lecture 3. Ideals and Factor Rings

Sep 19 Recitation Ex. 14 (Volunteers)

Sep 21 Recitation Suppl. Ex. 12–14 (Volunteers)

Sep 26 Lecture 4. Ring Homomorphisms

Sep 28 Recitation Ex. 15 (Volunteers)

Oct 01 No Class due to Typhoon 24

Oct 03 Lecture 5. Polynomial Rings

Oct 05 Recitation Ex. 16 (Volunteers)

Oct 08 Lecture 6-1. Factorization of Polynomials I

Oct 10 Lecture 6-2. Factorization of Polynomials II

Oct 12 Recitation Ex. 17 (Volunteers)

Oct 15 Lecture 7-1. Divisibility in Integral Domains I

Oct 17 Lecture 7-2. Divisibility in Integral Domains II R

Oct 19 Recitation Ex. 18 (Volunteers)

Oct 24 Recitation Suppl. Ex. 15–18

Oct 26 Recitation Ex. 19 (Volunteers)

Oct 29 Lecture 9-1. Extension Fields I

Oct 31 Lecture 9-2. Extension Fields II

Nov 02 Recitation Ex. 20 (Volunteers)

Nov 05 Lecture 10-1. Algebraic Extensions I

Nov 07 Lecture 10-2. Algebraic Extensions II

Nov 09 Recitation Ex. 21 (Volunteers)

Nov 12 Review

Review and Exams

Final

Old-Final

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