A Singular Introduction to Commutative Algebra

• Main Authors: Greuel, Gert-Martin (Author), Pfister, Gerhard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Subjects: Mathematics.; Computer science > Mathematics.; Algebra.; Algebraic geometry.; Computer mathematics.; Algorithms.; Algebraic Geometry.; Computational Mathematics and Numerical Analysis.; Symbolic and Algebraic Manipulation.

From the reviews: "…It is certainly no exaggeration to say that Greuel and Pfister's A Singular Introduction to Commutative Algebra aims to lead a further stage in the computational revolution in commutative algebra, in which computational methods and results become central to how the subj...

Table of Contents:

• Rings, Ideals and Standard Bases
• Modules
• Noether Normalization and Applications
• Primary Decomposition and Related Topics
• Hilbert Function and Dimension
• Complete Local Rings
• Homological Algebra.