On the generating function and growth of the positive singular braid monoid

We give an elementary proof of the fact that the generating function of the positive singular braid monoid is rational and we give the exact formula for such monoid on three strands.

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Bibliographic Details
Published in:Journal of pure and applied algebra Vol. 228; no. 7; p. 107641
Main Authors: Anisimov, A.L., Kameneva, G.A., Vershinin, V.V.
Format: Journal Article
Language:English
Published: Elsevier B.V 01-07-2024
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Summary:We give an elementary proof of the fact that the generating function of the positive singular braid monoid is rational and we give the exact formula for such monoid on three strands.
ISSN:0022-4049
DOI:10.1016/j.jpaa.2024.107641