![]() ![]() Gulliksen, Tor Levin, Gerson (1969), Homology of local rings, Queen's Papers in Pure and Applied Mathematics, vol. 20, Queen's University, MR 0262227.Cartan, Henri Eilenberg, Samuel (1999), Homological algebra, Princeton: Princeton University Press, ISBN 1-2, MR 0077480.Avramov, Luchezar Halperin, Stephen (1986), "Through the looking glass: a dictionary between rational homotopy theory and local algebra", in J.-E.^ Avramov & Halperin (1986), section 2.16 Stacks Project, Tag 09PQ.^ Weibel (1994), Remark in section 3.1.^ Cartan & Eilenberg (1956), section VI.1.When k has characteristic zero, π *( R) can be identified with the André-Quillen homology D *( k/ R, k). ⋯ → P 2 ⊗ R B → P 1 ⊗ R B → P 0 ⊗ R B → 0 is the free graded-commutative divided power algebra on a graded vector space π *( R).
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