Thomas Keilen Computer Algebra
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Dates:

Lecture: Mo 11:45-13:15 and Mi 08:15-09:45, Rm 48-438
Exampleclass: Fr 13:45-15:15, Rm 48-438

Prüfungstermine:

30.08.2004 28.10.2004 29.10.2004
10:30 Eva-Maria Zimmermann 09:00 Oleksandr Motsak 13:00 Timo Neumann
09:30 Oleksandr Manzyuk
11:30 Eckehard Hollborn 10:00 Oleksandr Iena
12:00 Paul Tolksdorf 10:30 Gergana Tosheva
12:30 Gergana Tosheva 11:00 Thorsten Horberth

Assingments:

Post Script Dateien: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 .
PDF Dateien: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 .

Literature:

Gert-Martin Greuel, Gerhard Pfister, A Singular Introduction to Commutative Algebra, Springer.
David Eisenbud, Commutative Algebra with a View towards Algebraic Geometry, Springer.
Cox, Little, O'Shea, Ideals, Varieties and Algorithms., Springer.
Cox, Little, O'Shea, Using Algebraic Geometry., Springer.

Content:

Rings and ideals, (graduated) modules, monomial orderings, standard bases, normal forms, Buchberger algorithm, Mora algorithm, operations with ideals and modules (intersection, radical, quotient, saturation), kernal of maps, free resolutions, sysygies, primary decompositon -- always the algorithmic aspect of computing the objects will be the dominating question.

Univ. of TübingenDept. of MathematicsSection AlgebraCAS SINGULAR