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arXiv · 2409.20241

On the Extensions of the Cohen Structure Theorem

Amartya Goswami
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Abstract

The purpose of this note is to pose a question that, when answered, would directly imply the Cohen Structure Theorem. We provide a solution to this question for a specific class of local rings (not necessarily complete). We also explore how this question connects to the Gelfand-Mazur Theorem and, more broadly, to a fundamental theorem in Gelfand theory. Finally, we provide a categorical reformulation of the question.

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Amartya Goswami. 2024-09-30. On the Extensions of the Cohen Structure Theorem. https://arxiv.org/abs/2409.20241

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