Syzygy (mathematics)

A syzygy is an object from the mathematical field of algebra. And when two n- tuples of polynomials are called s syzygy of G when it is. A syzygy thus describes how "joining" a set of polynomials to zero leaves. For example, is a syzygy of.

A fundamental theorem on syzygies was founded in 1890 by David Hilbert proved ( Hilbert Syzygiensatz ). Today syzygies of computer algebra systems are used with several unknowns to edit polynomial systems of equations.

Swell

  • Eric W. Weisstein: Syzygy. In: MathWorld (English).
  • Syzygy in the Encyclopaedia of Mathematics ( English)
  • Algebra
Hilbert's syzygy theorem Wolfram Research Encyclopedia of Mathematics
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