Computational aspects of commutative algebra

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  • Geometric, Homological, Combinatorial and Computational Aspects, 1st Edition.
  • Commutative Algebra: Geometric, Homological, Combinatorial and Computational Aspects.
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    Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras

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    Commutative Algebra

    About Lorenzo Robbiano. Lorenzo Robbiano.

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    The computations are exemplified with the computer algebra system Singular, developed by the authors. Singular is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry. The text starts with the theory of rings and modules and standard bases with emphasis on local rings and localization.

    Computational Aspects of Commutative Algebra by Lorenzo Robbiano

    It is followed by the central concepts of commutative algebra such as integral closure, dimension theory, primary decomposition, Hilbert function, completion, flatness and homological algebra. There is a substantial appendix about algebraic geometry in order to explain how commutative algebra and computer algebra can be used for a better understanding of geometric problems.

    The book can be used for courses, seminars and as a basis for studying research papers in commutative algebra, computer algebra and algebraic geometry. Rings Ideals and Standard Bases. Hilbert Function and Dimension.

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