47 citations · 169 across the 62 of their papers we have counts for
61 papers · 1 filter
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…
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…
Williams' conjecture holds for graphs of Gelfand-Kirillov dimension three
Tran Quang Do, Roozbeh Hazrat, Tran Giang Nam
A graph of Gelfand-Kirillov dimension three is a connected finite essential graph such that its Leavitt path algebra has Gelfand-Kirillov dimension three. We provide number-theoret…