English

Noncoherence of some rings of holomorphic functions in several variables as an easy consequence of the one-variable case

Complex Variables 2013-09-12 v1 Commutative Algebra

Abstract

Using the facts that the disk algebra and the Wiener algebra are not coherent, we prove that the polydisc algebra, the ball algebra and the Wiener algebra of the polydisc are not coherent.

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Cite

@article{arxiv.1309.2742,
  title  = {Noncoherence of some rings of holomorphic functions in several variables as an easy consequence of the one-variable case},
  author = {Raymond Mortini and Amol Sasane},
  journal= {arXiv preprint arXiv:1309.2742},
  year   = {2013}
}

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3 pages