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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {S. A. Aleschenko and V. I. Arnautov},
     title = {Properties of accessible subrings of pseudonormed rings when taking quotient rings},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {42--53},
     year = {2017},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2017_2_a2/}
}
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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/

[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