Structure and Representations of a Diagrammatic Non-Commutative Tangloid Algebra 4GTJAPF7Q3

URI	`m2://res/4GTJAPF7Q3`
Kind	preprint
Creators	Hadeel B. Albeladi, Sofia Lambropoulou
Date	2026-09-29
MSC	17-XX, 81-XX, 55-XX
Subjects	arxiv math.QA, arxiv math.AT
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
530S5GAF9B	example	example 7.6	arxiv
6NJSQ8X0CQ	statement	proposition 5.2	arxiv
719KVZEWX3	definition	definition 2.10	arxiv
Diagrammatic pairing on $\delta \mathcal T_n$	definition	definition 7.4	arxiv
91BTSCJHXD	statement	theorem 2.5	arxiv
Unoriented tangloid category	definition	definition 2.6	arxiv
F0AAS8TFH2	statement	lemma 3.7	arxiv
F9PPRS4MXN	definition	definition 3.2	arxiv
HGR5K3Q7ME	definition	definition 3.1	arxiv
Braidoid algebra $\mathcal{B}_n$	definition	definition 6.1	arxiv
M61A4PTDVE	example	example 3.3	arxiv
Loop count	definition	definition 7.3	arxiv
Basic properties	statement	proposition 7.5	arxiv
Extended unoriented tangloid category	definition	definition 3.4	arxiv
Pre-\hal\, structure	definition	definition 2.1	arxiv
TF53827VQ5	definition	definition 2.3	arxiv
Anti-involution	statement	lemma 7.2	arxiv
W82DGDX7JS	definition	definition 4.2	arxiv
WXSSWTFAQM	definition	definition 2.2	arxiv
XYJ0M0XE1E	definition	definition 3.8	arxiv
Y64JF7NZ92	statement	proposition 2.4	arxiv
YMQG37FZ5W	definition	definition 4.1	arxiv
YSC1222YM0	definition	definition 5.3	arxiv
Reduced tangloid algebra $\mathcal{T}_n$	definition	definition 7.1	arxiv
Tangloid algebra $\mathcal{T}_n$	definition	definition 5.1	arxiv