On the networks of large embeddings

Tuğba Aslan; Mohamed Khaled; Gergely Székely

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arXiv · 2112.12587

On the networks of large embeddings

Tuğba Aslan·Mohamed Khaled·Gergely Székely

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Abstract

We define a special network that exhibits the large embeddings in any class of similar algebras. With the aid of this network, we introduce a notion of distance that conceivably counts the minimum number of dissimilarities, in a sense, between two given algebras in the class in hand; with the possibility that this distance may take the value $\infty$. We display a number of inspirational examples from different areas of algebra, e.g., group theory and monounary algebras, to show that this research direction can be quite remarkable.

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Tuğba Aslan, Mohamed Khaled, Gergely Székely. 2021-12-20. On the networks of large embeddings. https://arxiv.org/abs/2112.12587

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