- is a free
monoid.
Transition monoids and
syntactic monoids are used in
describing finite-state machines.
Trace monoids and
history monoids provide a foundation...
- In
abstract algebra, the free
monoid on a set is the
monoid whose elements are all the
finite sequences (or strings) of zero or more
elements from that...
- 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...
- In
category theory, a
branch of mathematics, a
monoid (or
monoid object, or
internal monoid, or algebra) (M, μ, η) in a
monoidal category (C, ⊗, I) is...
- the
analogous case of groups) it may be
called an
abelian semigroup. A
monoid is an
algebraic structure intermediate between semigroups and groups, and...
-
computer science, the
syntactic monoid M ( L ) {\displaystyle M(L)} of a
formal language L {\displaystyle L} is the
smallest monoid that
recognizes the language...
- the set of
nonnegative integers or the set of integers, but can be any
monoid. The
direct sum
decomposition is
usually referred to as
gradation or grading...
- If it
includes the
identity function, it is a
monoid,
called a
transformation (or composition)
monoid. This is the
semigroup analogue of a permutation...
- Look up
monoid in Wiktionary, the free dictionary. A
monoid is an
algebraic structure.
Monoid may also
refer to:
Monoid (category theory), a mathematical...
- In
abstract algebra, an
additive monoid ( M , 0 , + ) {\displaystyle (M,0,+)} is said to be zerosumfree, conical,
centerless or
positive if
nonzero elements...
