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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
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.
Received: March 15, 2015
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
Linking options:
https://www.mathnet.ru/eng/tm3647https://doi.org/10.1134/S0371968515030048 https://www.mathnet.ru/eng/tm/v290/p43
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Abstract page: | 306 | Full-text PDF : | 67 | References: | 56 | First page: | 1 |
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