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This article is cited in 15 scientific papers (total 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.
Received: 26.12.1972 Revised: 20.06.1973
Citation:
L. L. Avramov, “On the Hopf algebra of a local ring”, Izv. Akad. Nauk SSSR Ser. Mat., 38:2 (1974), 253–277; Math. USSR-Izv., 8:2 (1974), 259–284
Linking options:
https://www.mathnet.ru/eng/im1900https://doi.org/10.1070/IM1974v008n02ABEH002104 https://www.mathnet.ru/eng/im/v38/i2/p253
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Abstract page: | 429 | Russian version PDF: | 162 | English version PDF: | 16 | References: | 53 | First page: | 1 |
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