outer morphism
[ˈaʊtər ˈmɔrfɪzəm]
nounpl: outer morphisms
morfismo externo
1. In mathematics, specifically in category theory and abstract algebra, a morphism between outer structures or a morphism that operates on the exterior properties of algebraic objects
The outer morphism between the two groups preserves the external structure while allowing internal variations.
O morfismo externo entre os dois grupos preserva a estrutura externa enquanto permite variações internas.
2. A homomorphism or structure-preserving map that acts on outer automorphisms or exterior derivations of an algebraic system
In homological algebra, the outer morphism defines relationships between outer automorphisms of a module.
Em álgebra homológica, o morfismo externo define relações entre automorfismos externos de um módulo.
This is a specialized technical term used exclusively in mathematics, particularly in higher mathematics education and research. It appears primarily in academic publications and university courses on abstract algebra, category theory, and homological algebra. The term is understood uniformly across Portuguese-speaking and English-speaking mathematical communities with minimal regional variation.
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