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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1974 Volume 38, Issue 2, Pages 253–277 (Mi im1900)

This article is cited in 15 papers

On the Hopf algebra of a local ring

L. L. Avramov


Abstract: The Hopf algebra $\operatorname{Tor}^A(k, k)$, where $A$ is a local ring and $k$ its residue class field, is studied by means of the Eilenberg–Moore spectral sequence converging to it and to a quotient algebra. It is shown that the Poincaré series of $A$ depends only on the homology structure of its Koszul complex as an algebra with Massey operations.

UDC: 519.4

MSC: Primary 13H99, 18H20, 16A24; Secondary 55H20

Received: 26.12.1972
Revised: 20.06.1973


 English version:
Mathematics of the USSR-Izvestiya, 1974, 8:2, 259–284

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© Steklov Math. Inst. of RAS, 2024