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math.RA2026
The prime spectrum of the talented monoid of a higher-rank graph and applications
Roozbeh Hazrat, Promit Mukherjee
In this paper, we further investigate the role of the graded Grothendieck group $K_0^{\gr}$ and its positive cone (the talented monoid) as an effective tool for distinguishing stru…
math.RA2026
Some more talents of the talented monoid of a higher-rank graph
Roozbeh Hazrat, Huanhuan Li, Promit Mukherjee
In this paper, we explore the idea that the graded Grothendieck group , or equivalently its positive cone, the talented monoid, can detect the structural type of higher-r…
math.RA2024
The Talented Monoid of Higher-Rank Graphs with Applications to Kumjian-Pask Algebras
Roozbeh Hazrat, Promit Mukherjee, David Pask +1
Given a row-finite higher-rank -graph , we define a commutative monoid which is a higher-rank analogue of the talented monoid of a directed graph. The talented monoid $…