endomorphic mapping
[en-duh-MOR-fik MAP-ing]
nounpl: endomorphic mappings
aplicação endomórfica
1. In mathematics and abstract algebra, a function or mapping from a mathematical structure to itself
An endomorphic mapping in group theory assigns each element of a group to another element within the same group.
Uma aplicação endomórfica na teoria dos grupos atribui cada elemento de um grupo a outro elemento dentro do mesmo grupo.
2. A homomorphism from a structure to itself that preserves the algebraic operations
The identity function is the simplest example of an endomorphic mapping.
A função identidade é o exemplo mais simples de uma aplicação endomórfica.
3. In linear algebra, a linear transformation from a vector space to itself
Matrix multiplication defines an endomorphic mapping on the space of square matrices.
A multiplicação de matrizes define uma aplicação endomórfica no espaço de matrizes quadradas.
This is primarily technical mathematical terminology used in academic and research contexts in both Brazil and Portugal. The term is particularly important in abstract algebra, functional analysis, and category theory courses. It is not commonly used in everyday language and is specific to advanced mathematics education and mathematical research communities.
Related Idioms & Phrases
endomorphic mapping onto itself
kernel of an endomorphic mapping
image of an endomorphic mapping
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