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A generalization of perfectly clustering words and band bricks for certain gentle algebras

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https://doi.org/10.5070/C65165017Creative Commons 'BY' version 4.0 license
Abstract

We generalize the perfectly clustering words of Simpson and Puglisi and relate them to band bricks over certain gentle algebras. This allows us to prove a generalization of a conjecture by the second author on perfectly clustering words.

Mathematics Subject Classifications: 16G20, 68R15

Keywords: Perfectly clustering words, gentle algebras, bands, bricks

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