Grothendieck: Sur quelques points d’algèbre homologique, I

What changed

Developed homological algebra in broad abelian-category settings and established structural conditions supporting injective objects and derived-functor methods beyond module categories.

Scientific scope

The record is the exact 1957 Part I paper in Tohoku Mathematical Journal. Part II, later Grothendieck categories, derived categories and applications to algebraic geometry remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact 1957 Part I paper in Tohoku Mathematical Journal. Part II, later Grothendieck categories, derived categories and applications to algebraic geometry remain separate.

Contributors

• Alexander Grothendieck · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Project Euclid record for Grothendieck Tôhoku Part I
• Crossref record for Grothendieck Tôhoku Part I

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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