7 papers · 2 filters
Stable equivalence of quadratic monomial algebras
Pengyun Chen, Bohan Xing
It is well known that gentle algebras are closed under derived equivalence. However, it is easy to verify that they are not closed under stable equivalence. We prove that the class…
Lifting -structures through coverings with applications to fractional Brauer graph algebras
Bohan Xing
Under suitable group actions, it is known that -structures descend to orbit categories. We study the converse problem of lifting an -structure to a prescribed c…
Classification of Brauer graph algebras under stable equivalence of Morita type
Nengqun Li, Pengyun Chen, Yuming Liu +1
The classification of Brauer graph algebras under derived equivalence was recently given by Opper and Zvonareva. In this paper, we prove that two Brauer graph algebras are derived…
Brauer graph algebras are closed under stable equivalence of Morita type
Pengyun Chen, Nengqun Li, Yuming Liu +1
We study stable equivalences of Brauer graph algebras. We prove that a basic symmetric algebra without semisimple summands which is stably equivalent to a Brauer graph algebra is a…
A classification of derived-discrete graded algebras
Riku Fushimi, Bohan Xing
A finite-dimensional algebra is derived-discrete, in the sense of Vossieck, precisely when it is a piecewise hereditary algebra of Dynkin type or a gentle one-cycle algebra not sat…
Invariants of derived equivalences for admissible fractional Brauer graph algebras
Bohan Xing
Characterizing derived equivalences between algebras via combinatorial structures has recently become a popular topic. In this paper, we study admissible fractional Brauer graph al…
Two-term tilting complexes of biserial fractional Brauer graph algebras
Bohan Xing
Brauer graph algebras form a classical class of symmetric algebras with well-structured combinatorial properties and geometric models. Recently, they have been generalized to biser…