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.

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. 
@article{BASM_2017_2_a2,
     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},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2017_2_a2/}
}
TY  - JOUR
AU  - S. A. Aleschenko
AU  - V. I. Arnautov
TI  - Properties of accessible subrings of pseudonormed rings when taking quotient rings
JO  - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY  - 2017
SP  - 42
EP  - 53
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BASM_2017_2_a2/
LA  - en
ID  - BASM_2017_2_a2
ER  - 
%0 Journal Article
%A S. A. Aleschenko
%A V. I. Arnautov
%T Properties of accessible subrings of pseudonormed rings when taking quotient rings
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2017
%P 42-53
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BASM_2017_2_a2/
%G en
%F BASM_2017_2_a2
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