1 citations · 2 across the 9 of their papers we have counts for
9 papers
Kleisli convolution representations and a Margolis--Sakurai version of the modular isomorphism problem
Yu-Zhe Liu
We introduce Kleisli convolution representations for groups, rings, and algebras. We show that their representation categories are equivalent to the usual ones for groups and finit…
Support -tilting posets and Hochschild reconstruction for matrix centralizer algebras
Jiangsheng Hu, Yu-Zhe Liu, Tiwei Zhao
Let be a field and the endomorphism algebra of a finite direct sum of cyclic modules over a finite-dimensional commutative local principal ideal -algebra. We construct a…
Integral coefficient rings and homological dimensions of algebras
Yu-Zhe Liu
We define the integral profiles of all modules and introduce integral coefficient rings for all finite-dimensio…
Semi-orthogonal and derived decompositions for gentle algebras
Jiangsheng Hu, Yu-Zhe Liu, Tiwei Zhao
We study semi-orthogonal decompositions of perfect derived categories of gentle algebras via marked ribbon surfaces. We characterize such decompositions in terms of suitable disjoi…
Recollements of Cohen-Macaulay Auslander algebras for gentle algebras
Jiacheng Xu, Yu-Zhe Liu, Xin Ma +1
We construct two recollements of module categories for the Cohen--Macaulay Auslander algebra of a gentle algebra . In this paper, we establish three equivalen…
Homological Bounds of Gentle algebras
Yu-Zhe Liu, Xin Ma, Jiacheng Xu +1
This paper studies the homological bounds of gentle algebras, i.e., the upper bounds for the sum of the projective and injective dimensions of indecomposable modules over gentle al…
On monomial algebras with representation-finite enveloping algebras
Jianguo Zhou, Yu-Zhe Liu, Chao Zhang
The present paper mainly considers the representation type of the enveloping algebra of monomial algebra. Let be a monomial algebra and $A^e= A\otimes_{\mathrm{l}\!\mathrm{k}}…
Constructing projective resolution and taking cohomology for gentle algebras in the geometric model
Yu-Zhe Liu, Chao Zhang, Houjun Zhang
The geometric models for the module category and derived category of any gentle algebra were introduced to realize the objects in module category and derived category by permissibl…
On the Decycling Number of Bubble-sort Star Graphs
Yu-Zhe Liu, Shyue-Ming Tang, Jou-Ming Chang
Bubble-sort star graphs are a combination of star graphs and bubble sort graphs. They are bipartite graphs and also form a family of Cayley graphs. The decycling number of a graph…