Thomas Markwig  Computer Algebra  WS 2007/08 




Dates:Lecture: Tu and We 08:1509:45, Rm 48438Exampleclass: Fr 13:4515:15, 48438 (Henning Meyer) News:
Assingments:Post Script Dateien: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 .PDF Dateien: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 . Singular Procedures: ca.lib . Algorithms in Chapter 5: algorithmen.ps , algorithmen.pdf . Literature:
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, syzygies, primary decompositon, Hilbert series, dimension theory, Noether normalisation  always the algorithmic aspect of computing the objects will be the dominating question. 

Univ. of TÃ¼bingen • Dept. of Mathematics • Section Algebra • CAS SINGULAR 