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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
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.
Received: April 19, 2016
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
Linking options:
https://www.mathnet.ru/eng/tm3731https://doi.org/10.1134/S0371968516030031 https://www.mathnet.ru/eng/tm/v294/p54
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Abstract page: | 465 | Full-text PDF : | 85 | References: | 48 | First page: | 8 |
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