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math.RT2026
On the structure of the singular triplet monoid and its virtual extension
Carmen Caprau, Mohamad N. Nasser
In this article, we introduce two new algebraic structures associated with the triplet group on strands, : the singular triplet monoid and its virtual extension $V…
math.RT2026
The virtual singular twin monoid and group: presentations and representations
Carmen Caprau, Mohamad N. Nasser
In this article, we introduce the algebraic definitions and presentations of the virtual singular twin monoid and virtual singular twin group, denoted by and , resp…