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

Amol Sasane; Raymond Mortini

arxiv: 1309.2742 · v1 · pith:O7AF3GQ3new · submitted 2013-09-11 · 🧮 math.CV · math.AC

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

Raymond Mortini , Amol Sasane This is my paper

classification 🧮 math.CV math.AC

keywords algebracoherentpolydiscwienerballcaseconsequencedisk

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

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