Examples of 'monoid' in a sentence
Meaning of "monoid"
monoid (adjective) - Monoid is a term used in mathematics to describe a set with a binary operation that is associative and has an identity element
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- A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.
- Containing only one kind of metrical foot.
How to use "monoid" in a sentence
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monoid
A bijective monoid homomorphism is called a monoid isomorphism.
This is true for any commutative monoid.
A group is a rational monoid if and only if it is finite.
A monoid is a semigroup that has an identity element.
In general a rational subset of a monoid is not a submonoid.
An aperiodic monoid is an aperiodic semigroup which is a monoid.
A semigroup that has a unit is called a monoid.
A monad is just a monoid in the category of endofunctors.
Monoid homomorphisms are sometimes simply called monoid morphisms.
The bicyclic monoid is not compact.
A monoid with an act is also known as an operator monoid.
However this quotient itself is generally only a monoid.
A free monoid on a countable alphabet is compact.
The identity element of a monoid is unique.
Lists form a monoid under the append operation.
See also
A bounded semilattice is an idempotent commutative monoid.
Any commutative monoid is the opposite monoid of itself.
Those axioms are formally similar to the monoid axioms.
A monoid is free if and only if it is graded and equidivisible.
The natural numbers form a monoid under addition.
A transformation monoid whose elements are invertible is a permutation group.
A semigroup with an identity is called a monoid.
The monoid generated by the element.
In mathematicsit is more commonly known as the free monoid construction.
A monoid in which every morphism is an isomorphism is known as a group.
A semigroup homomorphism between monoids preserves identity if it is a monoid homomorphism.
In a monoid the inverse of a central invertible element is a central element.
The free monoid on a set.
The composition of functions creates the algebraic structure of a monoid.
A group is a monoid in which every element has an inverse element.
Any semiautomaton induces an act of a monoid in the following way.
Every group is a monoid and every abelian group a commutative monoid.
The free group on a monoid.
A finite monoid is rational.
Free partially commutative monoid.
The trace monoid or free partially commutative monoid is a monoid of traces.
A language is regular if and only if the syntactic monoid is finite.
The integral monoid ring construction gives a functor from monoids to rings.
Now our applyLog can work for any monoid.
Applications outside of the semigroup and monoid theories are now computationally feasible.
Grothendieck group of a commutative monoid.
A commutative monoid in the category of simplicial abelian groups is a simplicial commutative ring.
This produces a monoid.
A monoid is a semigroup.
It should be noted that the completion preserve the monoid structure.
The resource of a path is the monoid sum of the resources of its arcs.
Identity element is a monoid.
Any monoid with involution is a dagger category with only one object.
Partially ordered monoid.
Then a monad on a category is a monoid object in the category of endofunctors on the category.
