On the generators of coordinate algebras of affine ind-varieties

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.

Publication Details

Journal
ArXiv.org
Published
2025-07-30
Primary Topic
Military Technology and Strategies
Type
article
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article

On the generators of coordinate algebras of affine ind-varieties

ArXiv.org
Military Technology and Strategies
article

On the generators of coordinate algebras of affine ind-varieties

article en

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.

ArXiv.org
Openalex Percentile: Top 37%
Military Technology and Strategies
Open Access PDFOpenAlex
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On the generators of coordinate algebras of affine ind-varieties · ArXiv.org (2025) | TGRS Research Map | TGRS