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Commutative algebra [ LMAT1331 ]


4.0 crédits ECTS  45.0 h   2q 

Teacher(s) Tignol Jean-Pierre ;
Language French
Place
of the course
Louvain-la-Neuve
Main themes Introduction to commutative ring theory in the concrete situation of polynomials with several variables : euclidian division, unique factorization, quotient rings, Hilbert basis theorem. Elimination theory and its geometric interpretation. Subgroups in the algebra of affine spaces and ideals of polynomials : Hilbert's nullstellensatz.
Aims The course aims to give an introduction to commutative algebra and to elementary algebraic geometry. After this course, students will be able to : Master the arithmetic properties of polynomials and to manipulate these explicitely, including with the help of software of symbolic calculations. Determine the solutions of complex algebraic systems; Interpret in geometric terms the operations on the algebraic systems.
Other information Prerequisite : Linear algebra course
Cycle et année
d'étude
> Bachelor in Economics and Management
> Bachelor in Engineering
> Bachelor in Physics
> Bachelor in Mathematics
Faculty or entity
in charge
> MATH


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