- 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...
-
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...
- Look up
monoid in Wiktionary, the free dictionary. A
monoid is an
algebraic structure.
Monoid may also
refer to:
Monoid (category theory), a mathematical...
-
identity element can be
easily turned into a
monoid by just
adding an
identity element. Consequently,
monoids are
studied in the
theory of
semigroups rather...
-
Topological Monoids and Categories".
American Journal of Mathematics. 106 (2): 301–350. doi:10.2307/2374307. ISSN 0002-9327. JSTOR 2374307.
topological monoid from...
- \mathbb {N} } with any
monoid G. Remarks: If we do not
require that the ring have an
identity element,
semigroups may
replace monoids. Examples: A
group naturally...
- 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...
- universal, in that all dependency-homomorphic (see below)
monoids are in fact isomorphic.
Trace monoids are
commonly used to
model concurrent com****tion, forming...
