isomorphisms

[US]/ˌaɪsəʊˈmɔːfɪzəmz/
[UK]/ˌaɪsəˈmɔrfɪzəmz/
Frequency: Very High

Translation

n.a mapping between two structures that preserves their relationships and properties

Phrases & Collocations

isomorphisms in math

isomorphisms and structures

isomorphisms of groups

isomorphisms between sets

isomorphisms in topology

isomorphisms in algebra

isomorphisms of vectors

isomorphisms and mappings

isomorphisms in category

isomorphisms of spaces

Example Sentences

isomorphisms play a crucial role in abstract algebra.

understanding isomorphisms can simplify complex problems.

mathematicians study isomorphisms to find structural similarities.

isomorphisms help in classifying different algebraic structures.

two groups are said to be isomorphic if there exists an isomorphism between them.

isomorphisms reveal deep connections between different mathematical fields.

in topology, isomorphisms are used to compare shapes.

isomorphisms can be visualized through diagrams in category theory.

finding isomorphisms between graphs can be computationally challenging.

isomorphisms provide a framework for understanding equivalence in mathematics.

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