A Singular Introduction to Commutative Algebra
By Gert-Martin Greuel, Gerhard Pfister. 2002
937 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/60c48ddec653f73f5b24ab3b0e193e7536234bf0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Michael Entov
- L. Polterovich
- Jürgen Herzog
- H. Schenck
- John Voight
- Daniel Robertz
- Alban Quadrat
- Wilhelm Plesken
In Mathematical Physics
- Michael Entov
- L. Polterovich
- H. Schenck
- John Voight
- Daniel Robertz
- Alban Quadrat
- Wilhelm Plesken
- Jeroen Sijsling
Citations in the corpus
- Applications of the Quillen-Suslin theorem to multidimensional systems theory (2007, methodology): “See [3, 10, 20] and the references ther ein for introductions to Janet and Gr öbner bases.”
- SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS (2002, neutral): “For many more details see [GP02].”
- Janet’s approach to presentations and resolutions for polynomials and linear pdes (2005, methodology): “[10], recently started to use the Janet or involutive division algorithm to construct Gröbner bases.”
- Grobner Bases in Commutative Algebra (2011, background): “For the readers who are interested in studying local monomial orders we refer to the book [GP02].”
- Constructive Homological Algebra and Applications (2012, neutral): “No indication in [25] about these subjects.”
- On computing Belyi maps (2013, background): “There are many good references for the theory of Gröbner bases [1, 29, 30, 54, 86].”
- Symplectic quasi-states and semi-simplicity of quantum homology (2007, methodology): “Using SINGULAR software (see [20]) we calculate that h, interestingly enough, admits a factorization”
- Arc Spaces and Rogers-Ramanujan Identities (2011, neutral): “For a short synopsis of technical results in the theory of Hilbert-Poincaré series we refer to the Appendix, Section 5, or a text on commutative algebra like Greuel and Pfister (2002).”
- Computational Algebraic Geometry (2003, background): “de/ Greuel and Pfister have written a commutative algebra book [47] based on Singular.”
- The vanishing Euler characteristic of an isolated determinantal singularity (2013, background): “In general, if (X, 0) is an IDS of dimension > 0, then it is reduced, since it is CohenMacaulay and satisfies Serre’s R0 condition, see for instance [13].”