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arXiv · 2405.02702

String algebras over local rings: regular examples

Raphael Bennett-Tennenhaus
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Abstract

String algebras, in the usual sense, are finite-dimensional algebras over a given ground field. We recall a generalisation of the definition of a string algebra, which was introduced in a previous paper of the author. This generalisation replaces the ground field with a noetherian local ring. We provide a way to generate examples of string algebras over any regular local ring, which depends on the Krull dimension.

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Raphael Bennett-Tennenhaus. 2024-05-04. String algebras over local rings: regular examples. https://arxiv.org/abs/2405.02702

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