monoid(...,Degrees=>...) -- specify the degrees of the variables

The Degrees option specifies the degrees of the variables in the monoid. If provided, the value must be a list or sequence with as many entries (after splicing and flattening) as there are variables. Each degree is an integers or a list of integers. Degrees provided as integers will be converted into multidegrees of length 1.

The DegreeRank option specifies the degree length of the monoid. If provided, the value must be an integer. If the Degrees option is not provided, the degrees of the variables are determined similar to this example.

Finally, the DegreeGroup option specifies the degree group of the monoid. If provided, the value must be a $\ZZ$-module. If the Degrees option is not provided, the degrees of the variables are determined similar to the previous example.

This option may also be used when creating a new ring from an existing ring, creating a tensor product ring, or symmetric algebra.

Functions with optional argument named Degrees:

• monoid(...,Degrees=>...) -- specify the degrees of the variables
• newRing(...,Degrees=>...) -- see newRing -- make a copy of a ring, with some features changed
• symmetricAlgebra(...,Degrees=>...) -- see symmetricAlgebra -- the symmetric algebra of a module
• tensor(Monoid,Monoid,Degrees=>...) -- see tensor(Monoid,Monoid) -- tensor product of monoids
• tensor(Ring,Ring,Degrees=>...) -- see tensor(Monoid,Monoid) -- tensor product of monoids

Further information

• Default value: null
• Function: monoid -- make or retrieve a monoid
• Option key: Degrees -- an optional argument