Multiple View Geometry of General Algebraic Curves
International Journal of Computer Vision
An algorithm for the computation of the radical of an ideal
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Newton's method with deflation for isolated singularities of polynomial systems
Theoretical Computer Science
Counting solutions to binomial complete intersections
Journal of Complexity
Numerical local rings and local solution of nonlinear systems
Proceedings of the 2007 international workshop on Symbolic-numeric computation
Computational D-module theory with singular, comparison with other systems and two new algorithms
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation
An Algebraic Approach for Proving Data Correctness in Arithmetic Data Paths
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
A computer-aided proof of a conjecture in Euclidean geometry
Computers & Mathematics with Applications
SINGULAR: a computer algebra system for polynomial computations
ACM Communications in Computer Algebra
Efficient Applications of Invariants to Harmonic Balance Equation Using Gröbner Base
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Noether normalization guided by monomial cone decompositions
Journal of Symbolic Computation
Letterplace ideals and non-commutative Gröbner bases
Journal of Symbolic Computation
Bounded distance decoding of linear error-correcting codes with Gröbner bases
Journal of Symbolic Computation
Local Bernstein-Sato ideals: Algorithm and examples
Journal of Symbolic Computation
Modular Algorithms for Computing a Generating Set of the Syzygy Module
CASC '09 Proceedings of the 11th International Workshop on Computer Algebra in Scientific Computing
Notes on factor prime factorizations for n-D polynomial matrices
Multidimensional Systems and Signal Processing
Generic invertibility of multidimensional FIR filter banks and MIMO systems
IEEE Transactions on Signal Processing
Irreducible decomposition of polynomial ideals
Journal of Symbolic Computation
Good bases for tame polynomials
Journal of Symbolic Computation
Journal of Symbolic Computation
Tackling Multiplicity of Equilibria with Gröbner Bases
Operations Research
F5C: A variant of Faugère's F5 algorithm with reduced Gröbner bases
Journal of Symbolic Computation
Algebraic and numerical algorithms
Algorithms and theory of computation handbook
Generic, type-safe and object oriented computer algebra software
CASC'10 Proceedings of the 12th international conference on Computer algebra in scientific computing
Parallelization of Modular Algorithms
Journal of Symbolic Computation
Modifying Faugère's F5 algorithm to ensure termination
ACM Communications in Computer Algebra
Involutive division generated by an antigraded monomial ordering
CASC'11 Proceedings of the 13th international conference on Computer algebra in scientific computing
On the computation of matrices of traces and radicals of ideals
Journal of Symbolic Computation
The offset to an algebraic curve and an application to conics
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and its Applications - Volume Part I
A behavioral interpretation of Livšic systems
Multidimensional Systems and Signal Processing
Variant quantifier elimination
Journal of Symbolic Computation
An algorithm for computing compatibly Frobenius split subvarieties
Journal of Symbolic Computation
Tutorial: Symbolic computation and the cyclicity problem for singularities
Journal of Symbolic Computation
Numerical calculation of H-bases for positive dimensional varieties
Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation
Minimal generating sets of non-modular invariant rings of finite groups
Journal of Symbolic Computation
Skew polynomial rings, Gröbner bases and the letterplace embedding of the free associative algebra
Journal of Symbolic Computation
Parallel algorithms for normalization
Journal of Symbolic Computation
Gröbner bases of symmetric ideals
Journal of Symbolic Computation
Intersection cuts for mixed integer conic quadratic sets
IPCO'13 Proceedings of the 16th international conference on Integer Programming and Combinatorial Optimization
Improving incremental signature-based Gröbner basis algorithms
ACM Communications in Computer Algebra
Hypersurfaces with many Aj -singularities: Explicit constructions
Journal of Computational and Applied Mathematics
Converting subalgebra bases with the Sagbi walk
Journal of Symbolic Computation
Designs, Codes and Cryptography
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From the reviews of the first edition: "It is certainly no exaggeration to say that A Singular Introduction to Commutative Algebra aims to lead a further stage in the computational revolution in commutative algebra . Among the great strengths and most distinctive features is a new, completely unified treatment of the global and local theories. making it one of the most flexible and most efficient systems of its type....another strength of Greuel and Pfister's book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic....Greuel and Pfister have written a distinctive and highly useful book that should be in the library of every commutative algebraist and algebraic geometer, expert and novice alike." J.B. Little, MAA, March 2004 The second edition is substantially enlarged by a chapter on Groebner bases in non-commtative rings, a chapter on characteristic and triangular sets with applications to primary decomposition and polynomial solving and an appendix on polynomial factorization including factorization over algebraic field extensions and absolute factorization, in the uni- and multivariate case.