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. 
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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. https://geodesic-test.mathdoc.fr/item/TRSPY_2016_294_a2/

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