Geodesic
Continuous homomorphisms between algebras of iterated Laurent series over a~ring
Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 54-75

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TRSPY_2016_294_a2,
     author = {Sergey O. Gorchinskiy and Denis V. Osipov},
     title = {Continuous homomorphisms between algebras of iterated {Laurent} series over a~ring},
     journal = {Informatics and Automation},
     pages = {54--75},
     publisher = {mathdoc},
     volume = {294},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2016_294_a2/}
}
TY  - JOUR
AU  - Sergey O. Gorchinskiy
AU  - Denis V. Osipov
TI  - Continuous homomorphisms between algebras of iterated Laurent series over a~ring
JO  - Informatics and Automation
PY  - 2016
SP  - 54
EP  - 75
VL  - 294
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2016_294_a2/
LA  - ru
ID  - TRSPY_2016_294_a2
ER  - 
%0 Journal Article
%A Sergey O. Gorchinskiy
%A Denis V. Osipov
%T Continuous homomorphisms between algebras of iterated Laurent series over a~ring
%J Informatics and Automation
%D 2016
%P 54-75
%V 294
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2016_294_a2/
%G ru
%F TRSPY_2016_294_a2
Sergey O. Gorchinskiy; Denis V. Osipov. Continuous homomorphisms between algebras of iterated Laurent series over a~ring. Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 54-75. http://geodesic.mathdoc.fr/item/TRSPY_2016_294_a2/