Examples of 'is an isomorphism' in a sentence
Meaning of "is an isomorphism"
is an isomorphism: In mathematics, this phrase is used to describe a bijective homomorphism between two mathematical structures, indicating a specific type of mapping between them
How to use "is an isomorphism" in a sentence
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is an isomorphism
A plane duality which is an isomorphism is called a correlation.
A canonical isomorphism is a canonical map that is an isomorphism.
If there is an isomorphism from one to the other.
A groupoid is a category in which every morphism is an isomorphism.
An automorphism is an isomorphism whose source and target coincide.
The diagram above commutes if and only if f is an isomorphism.
A linear map is an isomorphism if and only if the determinant is nonzero.
If f is proper then this map is an isomorphism.
An automorphism is an isomorphism of a single field.
That means that the principal symbol is an isomorphism.
Is an isomorphism of groups.
A monoid in which every morphism is an isomorphism is known as a group.
By a groupoid we mean simply a small category in which every morphism is an isomorphism.
Hence f is an isomorphism.
A groupoid is a small category where every morphism is an isomorphism.
See also
The homomorphism F is an isomorphism if and only if R is extensional.
Two mathematical structures are said to be isomorphic if there is an isomorphism between them.
In mathematics, an automorphism is an isomorphism from a mathematical object to itself.
This follows from the fact that the composite of any two isomorphisms is an isomorphism.
In mathematics, a diffeomorphism is an isomorphism in the category of smooth manifolds.
This form will be nondegenerate if and only if A is an isomorphism.
Generally, an automorphism is an isomorphism of the group with itself.
A groupoid G is a small category in which every morphism is an isomorphism.
In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.
A core is a graph G such that every graph homomorphism from G to itself is an isomorphism.
Since g is also a morphism, f is an isomorphism of varieties.
In general, E is called a reflexive module if the canonical homomorphism is an isomorphism.
Note that this is an isomorphism of vector spaces, not of algebras.
An invertible morphism is an isomorphism.
From this follows that if f is a homotopy equivalence, then f * is an isomorphism.
In mathematics, a symplectomorphism or symplectic map is an isomorphism in the category of symplectic manifolds.
AB2 For every morphism f, the canonical morphism from coim f to im f is an isomorphism.
A bijective module homomorphism is an isomorphism of modules, and the two modules are called isomorphic.
We say that the rings and are isomorphic, if there is an isomorphism between them.
An automorphism of a G-structure is an isomorphism of a G-structure P with itself.
For some V, namely precisely the finite-dimensional vector spaces, this map is an isomorphism.
Recursively, that would mean that there is an isomorphism between themes and isomorphisms.
Then the natural projection πm, X → Xm is an isomorphism.
More precisely, a unitary transformation is an isomorphism between two Hilbert spaces.
The Hodge theorem states that φ { \ displaystyle \ varphi } is an isomorphism of vector spaces.
If M is flat, f is injective and so is an isomorphism onto its image.
If V is finite-dimensional, then this is an isomorphism onto all of V ∗.
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Examples of using Isomorphism
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A canonical isomorphism is a canonical map that is an isomorphism
The inverse g is also an isomorphism with inverse f
An isomorphism of super vector spaces is a bijective homomorphism
