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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 2, Pages 259–284
DOI: https://doi.org/10.1070/IM1974v008n02ABEH002104
(Mi im1900)
 

This article is cited in 15 scientific papers (total in 15 papers)

On the Hopf algebra of a local ring

L. L. Avramov
References:
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1974, Volume 38, Issue 2, Pages 253–277
Bibliographic databases:
UDC: 519.4
MSC: Primary 13H99, 18H20, 16A24; Secondary 55H20
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
\Bibitem{Avr74}
\by L.~L.~Avramov
\paper On~the Hopf algebra of~a~local ring
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1974
\vol 38
\issue 2
\pages 253--277
\mathnet{http://mi.mathnet.ru/im1900}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=349816}
\zmath{https://zbmath.org/?q=an:0295.13005}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 2
\pages 259--284
\crossref{https://doi.org/10.1070/IM1974v008n02ABEH002104}
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  • https://doi.org/10.1070/IM1974v008n02ABEH002104
  • https://www.mathnet.ru/eng/im/v38/i2/p253
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:429
    Russian version PDF:162
    English version PDF:16
    References:53
    First page:1
     
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