47 citations · 85 across the 24 of their papers we have counts for
13 papers · 1 filter
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…
How to construct Gorenstein projective modules relative to complete duality pairs over Morita rings
Yajun Ma, Jiafeng Lü, Huanhuan Li +1
Let be a Morita ring with .We first study how to construct (comple…
Frobenius functors and Gorenstein projective precovers
Jiangsheng Hu, Huanhuan Li, Jiafeng Lu +1
We establish relations between Gorenstein projective precovers linked by Frobenius functors. This is motivated by an open problem that how to find general classes of rings for whic…
When the Schur functor induces a triangle-equivalence between Gorenstein defect categories
Huanhuan Li, Jiangsheng Hu, Yuefei Zheng
Let be an Artin algebra and an idempotent of . Assume that for any and sufficiently large. Necessary and sufficient…
A note on the core of Steinberg algebras
Roozbeh Hazrat, Huanhuan Li
For an ample Hausdorff groupoid , and the Steinberg algebra with coefficients in the commutative ring with unit, we describe the centraliser of subalgebra …
Gorenstein projective modules and recollements over triangular matrix rings
Huanhuan Li, Yuefei Zheng, Jiangsheng Hu +1
Let be a triangular matrix ring with and rings and an --bimodule. We describe Gorenstein project…
Graded -Theory, Filtered -theory and the classification of graph algebras
Pere Ara, Roozbeh Hazrat, Huanhuan Li
We prove that an isomorphism of graded Grothendieck groups of two Leavitt path algebras induces an isomorphism of a certain quotient of algebraic filtered -theory and…
The talented monoid of a Leavitt path algebra
Roozbeh Hazrat, Huanhuan Li
There is a tight relation between the geometry of a directed graph and the algebraic structure of a Leavitt path algebra associated to it. In this note, we show a similar connectio…
-graded rings as Cuntz-Pimsner rings
Lisa Orloff Clark, James Fletcher, Roozbeh Hazrat +1
Given a -graded ring and a subring , it is natural to ask whether can be realised as the Cuntz-Pimsner ring of some -system. In this paper, we…
Simple flat Leavitt path algebras are von Neumann regular
A. A. Ambily, Roozbeh Hazrat, Huanhuan Li
For a unital ring, it is an open question whether flatness of simple modules implies all modules are flat and thus the ring is von Neumann regular. The question was raised by Ramam…
An explicit projective bimodule resolution of a Leavitt path algebra
Xiao-Wu Chen, Huanhuan Li, Zhengfang Wang
We construct an explicit projective bimodule resolution for the Leavitt path algebra of a row-finite quiver. We prove that the Leavitt path algebra of a row-countable quiver has Ho…
Graded Steinberg algebras and partial actions
Roozbeh Hazrat, Huanhuan Li
Given a graded ample Hausdorff groupoid, we realise its graded Steinberg algebra as a partial skew inverse semigroup ring. We use this to show that for a partial action of a discre…
Tate-Vogel and relative cohomologies of complexes with respect to cotorsion pairs
Jiangsheng Hu, Huanhuan Li, Jiaqun Wei +2
We study Tate-Vogel and relative cohomologies of complexes by applying the model structure induced by a complete hereditary cotorsion pair ($\A$, $\B$) of modules. We show first th…