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Dates:
Lecture: Di 10:00-11:30
and Mi 08:15-09:45, Rm 48-438
Exampleclass: n.V.
News:
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Die Prüfungen in Computer Algebra finden am 17. März 2006 statt.
Assingments:
Post Script Dateien:
1
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2
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3
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4
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5
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6
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7
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8
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PDF Dateien:
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2
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8
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Singular Prozeduren:
ca.lib
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Literature:
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Gert-Martin Greuel, Gerhard Pfister, A Singular Introduction to
Commutative Algebra, Springer.
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Wolfram Decker, Christoph Lossen, Computing in Algebraic
Geometry, Springer.
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David Eisenbud, Commutative Algebra with a View towards Algebraic
Geometry, Springer.
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Cox, Little, O'Shea, Ideals, Varieties and Algorithms., Springer.
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Cox, Little, O'Shea, Using Algebraic Geometry., Springer.
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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.
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