Examples of 'homomorphism' in a sentence
Meaning of "homomorphism"
Homomorphism is a term in mathematics referring to a structure-preserving map between two algebraic structures
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- A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
- A similar appearance of two unrelated organisms or structures.
How to use "homomorphism" in a sentence
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homomorphism
A bijective monoid homomorphism is called a monoid isomorphism.
An isomorphism of super vector spaces is a bijective homomorphism.
An endomorphism is a homomorphism from an algebraic structure to itself.
Then there is induced a canonical group homomorphism.
But this homomorphism is not necessarily onto.
The kernel and the image of a homomorphism.
Thus f is a homomorphism of the two underlying semilattices.
An automorphism is simply a bijective homomorphism of an object with itself.
No homomorphism can satisfy these three conditions.
Next we prove that the homomorphism is surjective.
A semigroup homomorphism is a function that preserves semigroup structure.
Due to my assuming an homomorphism between the.
A homomorphism from a group to a group of automorphisms.
Any bijective ring homomorphism is a ring isomorphism.
Its inverse is also a group homomorphism.
See also
Prove that is a homomorphism if and only if is abelian.
This excludes the zero homomorphism.
The kernel of a homomorphism is always a congruence.
We now argue that f is a local homomorphism.
The composition of group homomorphisms is again a homomorphism.
This is called the evaluation homomorphism.
The image of this homomorphism is the monodromy group.
This word should not be confused with homomorphism.
The composition of two ring homomorphisms is a ring homomorphism.
Suppose are two groups and is an onto group homomorphism.
One must not confuse homomorphism with homeomorphism.
The homomorphism theorem is used to prove the isomorphism theorems.
The composition of module homomorphisms is again a module homomorphism.
Then we have the natural homomorphism.
A functor is a homomorphism between two categories.
It is the kernel of the homomorphism sgn.
Reverse the homomorphism to recover the original secret.
The condition that f is a module homomorphism means that.
Hence is a homomorphism of the group into the group.
In algebra a monomorphism is an injective homomorphism.
This is the homomorphism of vector spaces.
An isomorphism is simply a bijective homomorphism.
This gives a ring homomorphism defined by.
A semigroup homomorphism between monoids preserves identity if it is a monoid homomorphism.
Note that any homomorphism of.
An algebra homomorphism is a homomorphism that preserves the algebra structure.
A field automorphism is a bijective ring homomorphism from a field to itself.
An algebra homomorphism is a map that preserves the algebra operations.
Then there exists a unique cubic homomorphism such that.
The composition of an antihomomorphism with a homomorphism gives another antihomomorphism.
Thus the absolute norm extends uniquely to a group homomorphism.
Thus a semigroup homomorphism between groups is necessarily a group homomorphism.
And is also a group homomorphism.
This homomorphism is defined as follows.
Hence we have a group homomorphism.
