Sur quelques points d'algèbre homologique

Grothendieck, A. (1957). Sur quelques points d'algèbre homologique. Tohoku Mathematical Journal.

Type

Journal article

Intellectual base

Primary research

Year

1957

DOI

10.2748/tmj/1178244839

DOI registrant

Mathematical Institute, Tohoku University

Link

https://doi.org/10.2748/tmj/1178244839

Cited by

4 citations across 3 artifacts.

Domain-specific

• AB5 category
  • An AB5 category is an AB3 abelian category whose filtered colimit functor preserves exact sequences.
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Generator (category theory)
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Grothendieck category
  • A Grothendieck category satisfies AB5 and has an object whose morphisms detect nonzero objects, providing a sheaf- and module-like environment for homological algebra.

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 4 citations of this work carries a recorded support check.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

See how references were verified.

Registry ID ref:d8627c56a85b · see in the full table