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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 294, Pages 54–75
DOI: https://doi.org/10.1134/S0371968516030031 (Mi tm3731) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Continuous homomorphisms between algebras of iterated Laurent series over a ring

Sergey O. Gorchinskiy, Denis V. Osipov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (312 kB) Citations (10)
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DOI: https://doi.org/10.1134/S0371968516030031
Abstract: We study continuous homomorphisms between algebras of iterated Laurent series over a commutative ring. We give a full description of such homomorphisms in terms of discrete data determined by the images of parameters. In similar terms, we give a criterion of invertibility of an endomorphism and provide an explicit formula for the inverse endomorphism. We also study the behavior of the higher dimensional residue under continuous homomorphisms.
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: April 19, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 294, Pages 47–66
DOI: https://doi.org/10.1134/S0081543816060031
Bibliographic databases:
Document Type: Article
UDC: 512.71
Language: Russian
Citation: Sergey O. Gorchinskiy, Denis V. Osipov, “Continuous homomorphisms between algebras of iterated Laurent series over a ring”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 54–75; Proc. Steklov Inst. Math., 294 (2016), 47–66
Citation in format AMSBIB
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\paper Continuous homomorphisms between algebras of iterated Laurent series over a~ring
\inbook Modern problems of mathematics, mechanics, and mathematical physics.~II
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\pages 54--75
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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