Continuous homomorphisms between algebras of iterated Laurent series over a ring

@article{Gorchinskiy2016ContinuousHB,
  title={Continuous homomorphisms between algebras of iterated Laurent series over a ring},
  author={S. Gorchinskiy and Denis Vasilievich Osipov},
  journal={Proceedings of the Steklov Institute of Mathematics},
  year={2016},
  volume={294},
  pages={47-66}
}
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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10 Citations
Background Citations
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Methods Citations
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10 Citations

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