Coursebooks 2017-2018

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Rings and modules

MATH-311

Lecturer(s) :

Pieropan Marta

Language:

English

Summary

The students are going to solidify their knowledge of ring and module theory with a major emphasis on commutative algebra and a minor emphasis on homological algebra.

Content

-basic definitions of module theory

-the fundamental theorem of finitely generated modules over a principal ideal domain

-Jordan normal form

-homological algebra

-Hilbert's nullstellensatz

-Krull dimension

-transcendence degree

-localization

-tensor product

-integral extensions

-Noether normalization

-going up theorem

-going down theorem

-primary decomposition

 

Learning Prerequisites

Required courses

Learning Outcomes

By the end of the course, the student must be able to:

Teaching methods

ex chatedra course with exercise session

Assessment methods

written exam.

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Resources

Notes/Handbook

There will be pdf notes provided for the course. 

In the programs

Reference week

 MoTuWeThFr
8-9MAA110  MAA112 
9-10   
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German