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generators -- matrix of generators

generators x -- produces the generators of x.

For an abbreviation, use gens.

Produces the generators of a Groebner basis, a polynomial ring, a monoid ring, a free module, a free group, a submodule given by means of generators (or for which generators have been computed), or a free monoid.

Usually the result is a list of generators, but the generators of a module or Groebner basis are provided as the columns in a matrix. The matrix is stored in a module M under M.generators, unless the matrix is the identity matrix.

See also:

  • Monoid -- the class of all monoids
  • GroebnerBasis -- the class of all Groebner bases
  • Module -- the class of all modules
  • relations -- the defining relations
  • subquotient -- make a subquotient module
  • Ways to use generators :

  • generators EngineRing
  • generators GeneralOrderedGroup
  • generators GeneralOrderedMonoid
  • generators GroebnerBasis -- the Groebner basis matrix
  • generators Ideal
  • generators Module -- matrix of generators
  • generators MonomialIdeal
  • generators PolynomialRing
  • generators QuotientRing
  • generators Ring
  • generators(ZZ,Resolution)

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