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arXiv · 2507.22408

On the generators of coordinate algebras of affine ind-varieties

Alexander Chernov
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Abstract

In this paper we study the structure of the coordinate ring of an affine ind-variety. We prove that any coordinate ring of an affine ind-variety which is not isomorphic to an affine algebraic variety does not have a countable set of generators. Also we prove that coordinate rings of affine ind-varieties have an everywhere dense subspace of countable dimension.

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Alexander Chernov. 2025-07-30. On the generators of coordinate algebras of affine ind-varieties. https://arxiv.org/abs/2507.22408

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