Communications in Algebra · 2005 · 28 citations · 4 references
Natural SciencesMathematicsAlgebraCombinatoricsNumber TheoryAbstract AlgebraAlgebraic CombinatoricsAlgebraic GeometryAlgebraic StructuresCommutative AlgebraComputational AlgebraGeneratorsIdeal TheoryUpper Bounds
ABSTRACT We develop a new general method for constructing a polynomial ideal that has the same radical as a given monomial ideal, but has fewer generators. This provides upper bounds for the arithmetical rank of monomial ideals. An explicit formula is given for ideals generated by squarefree monomials of degree 2.
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On the number of equations defining certain varieties
Margherita Barile · manuscripta mathematica · 1996 · 18 citations
On set-theoretic intersections
Gennady Lyubeznik · Journal of Algebra · 1984 · 15 citations