Sentences with ENDOMORPHISM
Check out our example sentences below to help you understand the context.Sentences
1
"An endomorphism in mathematics is a function that maps a set to itself."
2
"In linear algebra, an endomorphism is a linear transformation from a vector space to itself."
3
"The identity function is an example of an endomorphism."
4
"A scalar multiple of the identity function is another example of an endomorphism."
5
"Composing two endomorphisms results in another endomorphism."
6
"The set of all endomorphisms of a vector space forms a ring."
7
"The zero function is an endomorphism that maps every element to zero."
8
"Every linear operator is an endomorphism."
9
"In category theory, an endomorphism is a morphism from an object to itself."
10
"An endomorphism cannot generally be inverted."
11
"Matrix multiplication can be considered as an endomorphism."
12
"The concept of an endomorphism is applicable in various branches of mathematics."
13
"An endomorphism can preserve certain properties of the set it is defined on."
14
"The composition of an endomorphism with its inverse is the identity function."
15
"The set of all invertible endomorphisms forms a group."
16
"An endomorphism of a field is an automorphism if and only if it is bijective."
17
"The concept of endomorphism extends to other algebraic structures like rings and modules."
18
"Many important theorems in algebra and analysis involve the concept of endomorphism."
1
"An endomorphism of a vector space is a linear map from the space to itself."
2
"The identity function is an example of an endomorphism."
3
"The concept of endomorphism is widely used in algebraic geometry."
4
"In group theory, an endomorphism is a homomorphism from a group to itself."
5
"An endomorphism can be represented by a matrix."
6
"The composition of two endomorphisms is also an endomorphism."
7
"The set of all endomorphisms of a vector space forms a ring."
8
"An endomorphism is invertible if and only if it is both injective and surjective."
9
"Automorphisms are a special type of endomorphisms that are bijective."
