Monoid -- the class of all monoids

Types of monoid:

• OrderedMonoid -- the class of all ordered monoids

Functions and methods returning a monoid:

• degreesMonoid -- see degreesRing -- the ring or monoid of degrees
• monoid -- make or retrieve a monoid
• Monoid ** Monoid -- see tensor(Monoid,Monoid) -- tensor product of monoids
• Monoid ^** ZZ -- see tensor(Monoid,Monoid) -- tensor product of monoids
• tensor(Monoid,Monoid) -- tensor product of monoids

Methods that use a monoid:

• degreeGroup(Monoid) -- see degreeGroup -- the degree group of a ring or monoid
• degreeLength(Monoid) -- see degreeLength -- the length of the degree vector
• degrees(Monoid) -- see degrees(Ring) -- degrees of generators
• degreesMonoid(Monoid) -- see degreesRing -- the ring or monoid of degrees
• degreesRing(Monoid) -- see degreesRing -- the ring or monoid of degrees
• describe(Monoid) -- see describe -- real description
• Monoid _* -- see generators of rings, ideals, and modules
• generators(Monoid) -- list of generators
• Monoid _ ZZ -- see get a ring variable by index -- get a ring variable by index
• String _ Monoid -- see get a ring variable by name -- get a ring variable by name
• heft(Monoid) -- see heft -- heft vector of ring or monoid
• numgens(Monoid) -- number of generators of a monoid
• options(Monoid) -- get values used for optional arguments
• InexactFieldFamily Monoid -- see Ring Monoid -- make a polynomial ring
• Ring Monoid -- make a polynomial ring
• use(Monoid) -- see use(Ring) -- install ring variables and ring operations
• vars(Monoid) -- list of variables in a monoid

For the programmer

The object Monoid is a type, with ancestor classes Type < MutableHashTable < HashTable < Thing.

The source of this document is in Macaulay2Doc/doc_rings.m2:18:0.