inexact sequence
[/ɪnɪɡˈzækt ˈsiːkwəns/]
nounpl: inexact sequences
sequência inexata
1. In mathematics and homological algebra, a sequence of objects and morphisms where the composition of consecutive morphisms is not necessarily zero, or does not satisfy the exactness condition
The inexact sequence failed to satisfy the homological property at that point.
A sequência inexata falhou em satisfazer a propriedade homológica naquele ponto.
2. A sequence of mathematical structures connected by functions where the image of one function does not equal the kernel of the next
Unlike exact sequences, inexact sequences allow for non-trivial cokernels.
Diferentemente das sequências exatas, as sequências inexatas permitem conúcleos não-triviais.
This is primarily academic mathematical terminology used in university-level courses on homological algebra and algebraic topology. It is used identically in both Brazil and Portugal in formal mathematical contexts. The term has no colloquial usage or cultural significance outside of mathematics departments.
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