## BMS Basic Course Commutative Algebra - Algebra II (32428) |

Contents: Noetherian, factorial and polynomial rings; modules; elements of homological and multilinear algebra; algebras over fields, like semi-simple and simple matrix algebras

- Prerequisites: Linear Algebra and Analytical Geometry I,II, Algebra I (cf. also the script of Algebra I by Michael Kreikenbaum; there is also a script about the tensor product by Sebastian Holtz)
- Timetable: Thursday, 11-13 and 15-17
- Location: RUD 26, 1'304
- Office hour: Thursday, 17-18, Rudower Chaussee 25, House 2, Room 2.303 or same floor

- Timetable: Wednesday, 09.15 -10.45
- Location: Rudower Chaussee 25, House 1, Room 1.011
- Office hour: Thursday, 13-15, RUD 25, 2.304 or same floor
- !Note! In the exam's week, there is an additional office hour Tuesday, 5th, 13-15

Points (please check that the entries are correct)

- No. 1 (hand in Oct 25th)
- No. 2(hand in Nov 1st)
- No. 3 (hand in Nov 8th)
- Halloween Problem (voluntary, hand in at 2.304 whenever you like)
- No. 4 (hand in Nov 15th)
- No. 5 (hand in Nov 22nd)
- No. 6 (hand in Nov 29th)
- No. 7 (hand in Dec 6th)
- Advent problem (for Christmas season & New Year's break; hand in till 2008, Jan 10th)
- No. 8 (hand in Dec 13th)
- No. 9 (hand in Dec 20th) Correction: In the definition of 3), on should use the projective limit instead of the direct one.Therefore, 3 becomes a 3* problem.
- No. 10 (hand in Jan 10th) Due to the correction in No. 9, 4a) is deleted (additional points may be awarded if the problem has been approached)
- No. 11 (hand in Jan 17th)
- No. 12 (hand in Jan 24th) Set 12, problem 3a) is deleted.
- No. 13 (hand in Jan 31st)
- Voluntary peraration set (hand in Feb 6th - but in case of urgent need of points, a delay by a few days should be acceptable)

- 2008, Feb 6th, 9-11 a.m., RUD 26, 0'307
- Ash Wednesday

- Michael F. Atiyah, I.G. MacDonald, Introduction to Commutative Algebra. Addison-Wesley (1969; Zbl 0175.03601)
- Hideyuki Matsumura. Commutative Algebra. 2nd ed. Math. Lect. Notes Ser. 56 (1980; Zbl 0441.13001)
- Nicolas Bourbaki. Elements of Mathematics. Commutative Algebra. Chapters 1-7. Transl. from the French. Springer xxiv (2006; Zbl 0902.13001)
- George R. Kempf, Algebraic Structures. Vieweg Verlag (1995; Zbl 0831.00002)
- David Eisenbud, Commutative Algebra. With a View Toward Algebraic Geometry. Graduate Texts in Mathematics 150 (1995; Zbl 0819.13001)
- R. Elkik, Cours d'algebre. Paris: Ellipses (2002; Zbl 1119.00001)

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