Sentences with HOMOMORPHISM
Check out our example sentences below to help you understand the context.Sentences
1
"A homomorphism is a map between two algebraic structures preserving operations."
2
"In mathematics, a homomorphism is a function between two objects of the same nature."
3
"The concept of a homomorphism is central in abstract algebra."
4
"A group homomorphism is a map between two groups preserving the group structure."
5
"In category theory, a homomorphism is a morphism between two objects in a category."
6
"Linear transformations between vector spaces can be seen as homomorphisms."
7
"A ring homomorphism is a map preserving the ring operations of two rings."
8
"The image of a homomorphism is always a substructure of the target object."
9
"An isomorphism is a bijective homomorphism between two structures."
10
"A group homomorphism sends the identity element to the identity element."
11
"The composition of two homomorphisms is also a homomorphism."
12
"A homomorphism between posets is an order-preserving map."
13
"A ring homomorphism needs to preserve the additive and multiplicative identities."
14
"The kernel of a homomorphism is the set of elements that map to the identity element."
15
"A homomorphism is often denoted by the symbol f: A → B."
16
"A group homomorphism maps the product of two elements to the product of their images."
17
"A homomorphism between fields is a map preserving the field operations."
18
"The set of all group homomorphisms between two groups forms an algebraic structure."
19
"A homomorphism of topological spaces is a continuous map."
1
"In mathematics, a homomorphism is a function that preserves the structure between two algebraic structures."
2
"A group homomorphism is a map between two groups that preserves the group operations."
3
"An isomorphism is a special kind of homomorphism that is bijective."
4
"The concept of a homomorphism is fundamental in the field of abstract algebra."
5
"For any two vector spaces, a linear transformation is a homomorphism."
6
"The homomorphism preserves the additive and scalar multiplication operations of the vector spaces."
7
"A ring homomorphism is a map between two rings that preserves the ring operations."
8
"An endomorphism is a homomorphism from a mathematical object to itself."
9
"Commutative diagrams are often used to represent homomorphisms between objects in category theory."
1
"It is not possible to homomorphism the two data structures."
2
"He attempted to homomorphism the mathematical equation."
3
"The programmer needs to homomorphism the code to simplify its structure."
4
"She studied how to homomorphism the complicated algorithm."
5
"The teacher explained how to homomorphism that theorem to a simpler form."
6
"They are planning to homomorphism the existing system to improve its efficiency."
7
"We must homomorphism the design to fit the new requirements."
8
"He is trying to homomorphism his ideas into a coherent argument."
9
"Please homomorphism this painting to match the rest of the collection."
10
"They will need to homomorphism the experimental setup for accurate results."
