Geodesic
Properties of accessible subrings of pseudonormed rings when taking quotient rings
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2017), pp. 42-53 
S. A. Aleschenko; V. I. Arnautov. Properties of accessible subrings of pseudonormed rings when taking quotient rings. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2017), pp. 42-53. http://geodesic.mathdoc.fr/item/BASM_2017_2_a2/
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     title = {Properties of accessible subrings of pseudonormed rings when taking quotient rings},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2017_2_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $(R,\xi)$ and $(\bar R,\bar\xi)$ be pseudonormed rings, $\varphi\colon R\to\bar R$ be a ring isomorphism. We prove that $\varphi\colon(R,\xi)\to(\bar R,\bar\xi)$ is a superposition of a finite number of semi-isometric isomorphisms if and only if it is a narrowing on an accessible subring of some isometric homomorphism.

[1] Arnautov V. I., Glavatsky S. T., Mikhalev A. V., Introduction to the theory of topological rings and modules, Marcel Dekker, Inc., New York, 1996 | MR | Zbl

[2] Aleschenko S. A., Arnautov V. I., “Quotient rings of pseudonormed rings”, Buletinul Academiei de Ştiinte a Republicii Moldova, Matematica, 2006, no. 2(51), 3–16 | MR | Zbl

[3] Aleschenko S. A., Arnautov V. I., “Properties of one-sided ideals of pseudonormed rings when taking the quotient rings”, Buletinul Academiei de Ştiinte a Republicii Moldova, Matematica, 2008, no. 3(58), 3–8 | MR | Zbl