Local rings and Golod homomorphisms
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Publication:1224610
DOI10.1016/0021-8693(75)90077-0zbMath0324.13022OpenAlexW2006205845MaRDI QIDQ1224610
Publication date: 1975
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(75)90077-0
Multiplicity theory and related topics (13H15) Homological methods in commutative ring theory (13D99) Chain conditions, finiteness conditions in commutative ring theory (13E99)
Related Items
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Cites Work
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- Homology of Noetherian rings and local rings
- On the homology of local rings
- A proof of the existence of minimal R-algebra resolutions
- On the structure of Hopf algebras
- Über homologische Invarianten lokaler Ringe
- Matric Massey products
- Massey operations and the Poincaré series of certain local rings
