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189-235A: Higher Algebra I

Professor: Henri Darmon
TA's: and .
Markers: and .
Classes: MWF 8:35-9:25. in Burnside Hall 1205


Office Hours:
Darmon MW 10:30-12:00, in Burnside Hall 1111.

Recommended Texts:
Algebra by Serge Lang.

Syllabus: Review of group theory. Sylow theorems. Representation theory of algebras and finite groups. Basic commutative algebra; prime ideals and localization, Hilbert Nullstellensatz, integral extensions. Dedekind domains. The category of R-modules; chain conditions, tensor products, flat, projective and injective modules.

Assignments will be handed out roughly every two weeks. It is your responsiblity to make sure that your work is handed in on time!

Grading Scheme : There are two possible schemes, and I will take the maximum of those.

1. 40% Weekly assignments, 60% Final.
2. 100% Final.

Final grades Here are your final grades for the course. I will be out of town from December 14, but if you have a question about your final mark you can reach me by email. You can make an appointment to see my any time after January 2 if you want to go over your final exam.

In the meantime I wish you a pleasant holidays!

The obligatory statement

McGill University values academic integrity. Therefore, all students must understand the meaning and consequences of cheating, plagiarism and other academic offences under the Code of Student Conduct and Disciplinary Procedures (see www.mcgill.ca/integrity for more information).