Coursebooks 2016-2017

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Rings and modules

MATH-311

Lecturer(s) :

Patakfalvi Zsolt

Language:

English

Summary

The students will solidify their knowledge of algebra. They will use the structure theorem of finitely generated modules over principal ideal domains. We will study simple, indecomposable, projective and injective modules. We will construct their tensor products and localization.

Content

-definition of modules and module homomorphisms 

-simple and free modules

-exact sequences

-injective and projective modules

-tensor products

-Noetherian rings and modules

-structure theorem

-Jordan normal form

-localization of rings

-towards Hilbert Nullstellensatz

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; bonus for exercises

In the programs

Reference week

 MoTuWeThFr
8-9     
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     
Under construction
 
      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