- is a free
monoid.
Transition monoids and
syntactic monoids are used in
describing finite-state machines.
Trace monoids and
history monoids provide a foundation...
- of free
semigroups is
called combinatorial semigroup theory. Free
monoids (and
monoids in general) are ****ociative, by definition; that is, they are written...
- is a
topological monoid. A
monoid object in the
category of
monoids (with the
direct product of
monoids) is just a
commutative monoid. This
follows easily...
-
monoids were
first presented by M.W. Shields.
History monoids are
isomorphic to
trace monoids (free
partially commutative monoids) and to the
monoid of...
-
relations show that ba
commutes with both a and b.
Presentations of
inverse monoids and
semigroups can be
defined in a
similar way
using a pair ( X ; T ) {\displaystyle...
-
binary operation on the
affine monoid M {\displaystyle M} .
Affine monoids are also
torsion free. For an
affine monoid M {\displaystyle M} , n x = n y...
- In
abstract algebra, an
additive monoid ( M , 0 , + ) {\displaystyle (M,0,+)} is said to be zerosumfree, conical,
centerless or
positive if
nonzero elements...
- universal, in that all dependency-homomorphic (see below)
monoids are in fact isomorphic.
Trace monoids are
commonly used to
model concurrent com****tion, forming...
- In
abstract algebra, a
monoid ring is a ring
constructed from a ring and a
monoid, just as a
group ring is
constructed from a ring and a group. Let R be...
- group. This
theorem generalizes straightforwardly to
monoids: any
monoid M is a
transformation monoid of its
underlying set, via the
action given by left...
