Last Update: August 31, 2008

ALGEBRA II 代数学 II


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Tentative Schedule of Autumn 2008

Date Title and Note Reading Homework Due
September 8 (Mon.) Lecture 1 (E): Definition and elementary properties of rings (2.3) 6.1
September 10 (Wed.) Exercises 6.1 6.1 Exercises 6.1
September 15 (Mon.) Lecture 2 (E): Subrings and ideals 6.2 Quiz 1
September 17 (Wed.) Exercises 6.2 6.2 Exercises 6.2
September 22 (Mon.) Lecture 3 (E): Integral domains, division rings and fields 6.3 Quiz 2
September 24 (Wed.) Lecture 4 (E): Characteristic and the field of fractions of an integral domain 6.3 Quiz 3
September 29 (Mon.) Exercises 6.3 6.3 Exercises 6.3
October 1 (Wed.) Lecture 5 (E): Euclidean domains 7.1 Quiz 4
October 6 (Mon.) Exercises 7.1 7.1 Exercises 7.1
October 8 (Wed.) Lecture 6 (E): Principal ideal domains 7.2 Quiz 5
October 13 (Mon.) Exercises 7.2 7.2 Exercises 7.2
October 15 (Wed.) Lecture 7 (E): Unique factorization in integral domains 7.3 Quiz 6
October 20 (Mon.) Exercises 7.3 7.3 Exercises 7.3
October 22 (Wed.) Lecture 8 (E): Polynomial rings 7.3 Quiz 7
October 27 (Mon.) Exercises 7.1-7.3 7.3 Review Exercises
October 29 (Wed.) Lecture 9 (E): Roots of polynomials and irreducibility 7.4 Quiz 8
November 3 (Mon.) No class. Bunk-no-hi
November 5 (Wed.) Exercises 7.4 7.4 Exercises 7.4
November 10 (Mon.) Review Chapters 6 and 7

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