# monomials(...,Variables=>...) -- specify variables

## Synopsis

• Usage:
monomials(m,Variables=>x)
• Inputs:
• x, either a list or sequence of ring variables, a list or sequence of integers denoting indices of ring variables, or a single ring element or integer index. The default value is: all of the variables
• Consequences:
• Each variable not in the set of variables x is considered a coefficient

## Further information

• Default value: null
• Function: monomials -- matrix of monomials in a ring element or matrix
• Option key: Variables -- an optional argument

## Functions with optional argument named Variables :

• "basis(...,Variables=>...)" -- see basis -- basis or generating set of all or part of a ring, ideal or module
• "coefficients(...,Variables=>...)" -- see coefficients -- monomials and their coefficients
• "monoid(...,Variables=>...)" -- see monoid -- make or retrieve a monoid
• monomials(...,Variables=>...) -- specify variables
• "newRing(...,Variables=>...)" -- see newRing -- make a copy of a ring, with some features changed
• "symmetricAlgebra(...,Variables=>...)" -- see symmetricAlgebra -- the symmetric algebra of a module
• "tensor(Monoid,Monoid,Variables=>...)" -- see tensor(Monoid,Monoid) -- tensor product of monoids
• tensor(PolynomialRing,PolynomialRing,Variables=>...) (missing documentation)
• tensor(PolynomialRing,QuotientRing,Variables=>...) (missing documentation)
• tensor(QuotientRing,PolynomialRing,Variables=>...) (missing documentation)
• tensor(QuotientRing,QuotientRing,Variables=>...) (missing documentation)
• tensor(Ring,Ring,Variables=>...) (missing documentation)