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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 43–60
DOI: https://doi.org/10.1134/S0371968515030048
(Mi tm3647)
 

This article is cited in 6 scientific papers (total in 6 papers)

Cartier isomorphism for unital associative algebras

D. Kaledin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (257 kB) Citations (6)
References:
Abstract: Given an associative unital algebra $A$ over a perfect field $k$ of odd positive characteristic, we construct a noncommutative generalization of the Cartier isomorphism for $A$. The role of differential forms is played by Hochschild homology classes, and the de Rham differential is replaced with the Connes–Tsygan differential.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 35–51
DOI: https://doi.org/10.1134/S0081543815060048
Bibliographic databases:
Document Type: Article
UDC: 512.666
Language: Russian
Citation: D. Kaledin, “Cartier isomorphism for unital associative algebras”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 43–60; Proc. Steklov Inst. Math., 290:1 (2015), 35–51
Citation in format AMSBIB
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\vol 290
\pages 43--60
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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