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math.QA2026
Structure and Representations of a Diagrammatic Non-Commutative Tangloid Algebra
Hadeel B. Albeladi, Sofia Lambropoulou
We introduce the \emph{tangloid algebra} , a diagrammatic algebra arising from the extended tangloid category $\Ti$, and its subalgebra, the \emph{braidoid algebra}…
math.GT2026
On pure braids and bonded braids
Sofia Lambropoulou, Lucrezia Beatrice Lorenzi
In this paper we investigate the relation between the bonded braid monoid BBn and the group of pure braids , realised by an algebraic analogue of the topological tangle insert…