Greobner Bases : an algorithmic method in polynomial ideal theory
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Abstract
References (22)
Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I
1964 • 2,457 citations
The diamond lemma for ring theory
1978 • 1,188 citations
Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors
1913 • 503 citations
Gröbner bases, Gaussian elimination and resolution of systems of algebraic equations
1983 • 420 citations
Die Frage der endlich vielen Schritte in der Theorie der Polynomideale
1926 • 373 citations
A theoretical basis for the reduction of polynomials to canonical forms
1976 • 285 citations
The division algorithm and the hilbert scheme
1982 • 264 citations
New constructive methods in classical Ideal theory
1986 • 150 citations
Exponential space complete problems for Petri nets and commutative semigroups (Preliminary Report)
1976 • 123 citations
Über B. Buchbergers verfahren, systeme algebraischer gleichungen zu lösen
1978 • 119 citations
An algorithm to compute the equations of tangent cones
1982 • 114 citations
A critical-pair/completion algorithm for finitely generated ideals in rings
1984 • 73 citations
Some properties of Gröbner-bases for polynomial ideals
1976 • 71 citations
A criterion for eliminating unnecessary reductions in the Knuth-Bendix algorithm
1983 • 61 citations
Topics in automated theorem proving and program generation
1983 • 57 citations
A note on the complexity of constructing Gröbner-bases
1983 • 49 citations
New decision algorithms for finitely presented commutative semigroups
1981 • 45 citations
On constructing bases for ideals in polynomial rings over the integers
1983 • 35 citations
A simplified proof of the characterization theorem for Gröbner-bases
1980 • 23 citations
Simplification of radical expressions
1976 • 21 citations
Mehrdimensionale Hermite-Interpolation und numerische Integration
1976 • 19 citations
On solving systems of algebraic equations via ideal bases and elimination theory
1981 • 19 citations