47 citations · 169 across the 62 of their papers we have counts for
72 papers
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…
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…
Higher-Dimensional Symbolic Dynamics: A Textile Framework For 3-graphs
Roozbeh Hazrat, Promit Mukherjee, Sujit Kumar Sardar
Textile systems are best known to model two-dimensional shifts of finite type. In this article, we associate a discrete algebra with a textile system and provide a groupoid model f…
The graded Grothendieck group is full for weighted Leavitt path algebras
Remarl Joseph Damalerio, Roozbeh Hazrat, Tran Giang Nam
The Graded Classification Conjecture asserts that the graded Grothendieck group is a complete invariant for the classes of Leavitt path algebras and graph …
Embedding -algebras into Leavitt algebra
Boris Bilich, Roozbeh Hazrat, Tran Giang Nam
Since the commutative monoid is a weak terminal object in the category of conical monoids with order units, there is a unital homomorphism from every Bergman…
Graded Lawson-Stone Duality
Roozbeh Hazrat, Zachary Mesyan
The classical Stone duality associates to each Boolean algebra a topological space consisting of ultrafilters. Lawson's generalisation constructs a dual equivalence of categories o…