Math 771 -- Syllabus

• To get to this page: www.math.ohio-state.edu/~flicker/771.html

• Office hours: whenever you catch me. Phone: 292-5282. Email: flicker@math.ohio-state.edu

• Book: Joseph Rotman, An Introduction to Homological Algebra, Academic Press. Serge Lang, Algebra, 3rd Edition, Addison Wesley. Homework: collected fridays, returned mondays.

• Sections covered: 1, 2, 3, 4, 6, 7, 8.

• Midterm: Monday, February 11.

• Final: very likely takehome, March 15.

• [Homework: Lang II, Sect. 4-5, numbers 5, 9, 10, 11 (p. 115).

• Homework: Lang III, Sect. 10, numbers 17, 21, 25 (pp. 169-171)

• Homework: Rotman Chapter 2, numbers 2.12, 2.14, 2.15, 2.16, 2.18, 2.19 (1/2)]

• [Homework: Rotman Chapter 1, numbers 1.8, 1.9, 1.14 (pp. 15-16)

• Homework: Rotman Chapter 2, prove Thm 2.9, p. 35, contravariant case.]

• [Homework: Rotman Ch. 2, Thm 2.11, 2nd isom; read pf of 2:13; Thm 2.14: G.

• Homework: Rotman Ch. 3, numbers 3.1-3.2. Read Ch. 1 on proj/direct limits.

• Homework: Rotman Ch. 3, numbers 3.10, 3.12, 3.13, 2.29, 2.30]

• [Homework: Rotman Ch. 3, numbers 3.19, 3.21, 3.34 (and 2.39)

• Homework: Rotman Ch. 3, numbers 2.32, 2.34, 3.36

• Homework: Rotman Ch. 4; numbers 2.10, 3.3, 4.1; #5 page 109; #11 page 114]

• [Homework: Rotman Ch. 4, numbers 2.23, 3.4 & show: local rings have IBN (see comment after pf of thm 4.44)

• Homework: Rotman Ch. 4, Ex: f.g. proj module over PID is free]

• [Homework: Rotman Ch. 6; numbers 6.1, 6.2, 6.8, 6.13 (6.9, 6.10), 1.3

• [Homework: Rotman Ch. 6; numbers 6.19, 6.20, 6.15

• Homework: Rotman Ch. 5; numbers 5.3-5.6]

• [Homework: Rotman Ch. 6; numbers 6.9, 6.10, 6.16

• Homework: Rotman Ch. 5; numbers 5.8-5.9, read pp. 156-157

• Homework: Rotman Ch. 5; numbers 5.12-5.16]

• [Homework: Rotman Ch. 7; numbers 7.8-7.13

• Homework: Rotman Ch. 8; numbers 8.1, 8.4-8.8

• Homework: Rotman Ch. 8; numbers 8.9, 8.10, 10.5]

• [Homework: Rotman Ch. 4; numbers 4.1-4.3

• Homework: Rotman Ch. 5; numbers 5.10, 5.11, 10.6; p. 113 no. 11

• Homework: Rotman Ch. 5; numbers 5.16

• Homework: Rotman Ch. 10; numbers (2.46-48, p. 47: Thm 2.23)

• Solutions for Final: