Examples of 'universal property' in a sentence

Meaning of "universal property"

universal property - In various academic disciplines, especially mathematics and computer science, the term 'universal property' refers to a fundamental concept that describes a unique mapping or relationship between certain objects or structures. It often denotes a property that characterizes an object in a specific category, allowing for generalizations and understanding of its behavior
Show more definitions
  • The property of there being a unique morphism from an arbitrary object to the universal morphism of a comma category which is from a functor to a fixed object; or, dually, the property of there being a unique morphism from the universal morphism to an arbitrary object of a comma category which is from a fixed object to a functor. (Caveat: the uniqueness is up to isomorphism.)

How to use "universal property" in a sentence

Basic
Advanced
universal property
This is a universal property of universal enveloping algebras.
Uniqueness up to isomorphism is specified by the universal property.
Theorem universal property.
It therefore satisfies the associated universal property.
Universal property is inefficient.
By means of a universal property.
That is for the objects that may be characterized by a universal property.
This is a special case of the universal property for products in category theory.
The free category on a quiver can be described up to isomorphism by a universal property.
Commutative diagram showing the universal property for a fibred product of morphisms.
The universal property can thus be seen as being inherited from the tensor algebra.
There is no field satisfying a free universal property for a given set.
Diamagnetism is a universal property of chemical compounds, because all chemical compounds contain electron pairs.
The inverse limit and the natural projections satisfy a universal property described in the next section.
It is not… a universal property of all human societies.

See also

As free objects, they have the universal property.
By the universal property of the first product, there exists a unique morphism such that for.
Extranatural transformation Universal property Higher category theory.
Formally these constructions define different objects, which all are solutions of the same universal property.
CSS provides five special universal property values for controlling inheritance.
In contrast, RP-HPLC detects all proteins because UV absorbance is a universal property of protein molecules.
The universal property of the product group shows that Π is right-adjoint to Δ.
Destination Universal property.
Universal property = = = The tensor product as defined above is a universal property.
Are you for the use of privatisation bonds in the universal property restitution program?
In the several variables case, the universal property characterizing R { \ displaystyle R } becomes the following.
Then G is right adjoint to F, which expresses the universal property of kernels.
Then we obtain a morphism f, HT → H by the universal property of HT, which is clearly surjective.
The C * - analog of the direct limit construction gives a C * - algebra satisfying the universal property above.
The ring R { \ displaystyle R } may be characterized by the following universal property.

You'll also be interested in:

Examples of using Property
Compensation for loss of property were also provided
Property of the natural person may be sequestrated
Most parcels of industrial property were in private hands
Show more
Examples of using Universal
Universal access to sanitary means of excreta disposal
Others have attained universal health coverage
The universal legal regime against terrorism
Show more

Search by letter in the English dictionary