Examples of 'monoids' in a sentence
Meaning of "monoids"
monoids (noun): in mathematics, a type of algebraic structure consisting of a set and an associative binary operation, often used in abstract algebra and theoretical computer science
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- plural of monoid
How to use "monoids" in a sentence
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monoids
Monoids can be viewed as a special class of categories.
A simpler example are the free monoids.
Groups are monoids for which every morphism is invertible.
Examples of cancellative monoids and semigroups.
Affine monoids are finitely generated.
This is discussed in greater detail in the article on syntactic monoids.
Monads are to monoids as comonads are to comonoids.
We already examined one way for numbers to be considered monoids.
A semigroup homomorphism between monoids preserves identity if it is a monoid homomorphism.
Monoids and semigroups are ubiquitous.
The class of all commutative monoids with monus form a variety.
Monoids are also considered as a suitable setting for automata in monoidal categories.
Composites are monoids.
Affine monoids are cancellative.
The integral monoid ring construction gives a functor from monoids to rings.
See also
Monoids and groups may be regarded as categories with one object.
Several definitions and theorems about monoids may be generalized for categories.
Monoids and groups can be thought of as categories with a single element.
We then make a comprehensive search in order to categorify pbt with a tower of monoids.
The origin of the Monoids is obscure.
He speaks with the voice of the Monoids.
The Monoids only keep us alive because they enjoy being waited on.
Basic algebraic structures with such an addition operation include commutative monoids and abelian groups.
Ordinary monoids are precisely the monoid objects in the cartesian monoidal category Set.
First we have got to find that bomb that the Monoids left behind.
The Monoids acquaint us of intruders.
We study the syzygy problem for the Knuth presentation of the plactic monoids.
We make explicit a finite coherent presentation of plactic monoids of type A with the column generators.
The Monoids are preparing to leave.
But those who care for the future of the Monoids must come with me.
The Monoids have all gone.
We construct finite convergent presentations for these monoids in a general way using Littelmann paths.
I will collect a party of Guardians and Monoids.
The Monoids are up to something.
But I am going to find out from the Monoids.
Trace monoids are commonly used to model concurrent computation, forming the foundation for process calculi.
They were called Monoids.
Affine monoids arise naturally from convex polyhedra, convex cones, and their associated discrete structures.
Generalizing to Monoids.
The Monoids will not know who 's taking them.
Semigroups with a two-sided identity are called monoids.
Yes, it appears the Monoids have become overlords.
In category theory, a particular monoid is an object in the category of monoids.
Well, I am afraid the Monoids will make very short work of them.
It turns out that that 's not the only way for numbers to be monoids.
All groups are monoids, and all monoids are semi-groups.
We consider non-uniform computational models like programs over monoids and branching programs.
In this future, the Monoids are the masters, and the humans the slaves.
Thus semi-Thue systems constitute a natural framework for solving the word problem for monoids and groups.
Come on, while the Monoids are fighting.
