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2003•Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

REAL PIECEWISE ALGEBRAIC VARIETY

Ren-hongWang, Yi-shengLai

Open publisher page 7 citations

Abstract

We give definitions of real piecewise algebraic variety and dimension.By using the techniques of real radical ideal,P-radical ideal,affine Hilbert polynomial,Bernstein-net from of polynomials on simplex,and decomposition of semi-algebraic set,etc.,we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in C^μ spline ring.

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What this paper is about

We give definitions of real piecewise algebraic variety and dimension.By using the techniques of real radical ideal,P-radical ideal,affine Hilbert polynomial,Bernstein-net from of polynomials on simplex,and decomposition of semi-algebraic set,etc.,we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in C^μ spline ring.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We give definitions of real piecewise algebraic variety and dimension.By using the techniques of real radical ideal,P-radical ideal,affine Hilbert polynomial,Bernstein-net from of polynomials on simplex,and decomposition of semi-algebraic set,etc.,we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in C^μ spline ring.

Key concepts: Affine variety, Mathematics, Dimension of an algebraic variety, Real algebraic geometry, Function field of an algebraic variety, Singular point of an algebraic variety, Algebraic variety, Variety (cybernetics)

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