37 citations · 132 across the 19 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.RT2022
Mirror-reflective algebras and Tachikawa's second conjecture
Hongxing Chen, Ming Fang, Changchang Xi
Given an algebra with an idempotent, we introduce two procedures to construct families of new algebras, termed mirror-reflective algebras and reduced mirror-reflective algebras. We…
math.RA2022★ 1 cited
Resolving dualities and applications to homological invariants
Hongxing Chen, Jiangsheng Hu
Dualities of resolving subcategories of finitely generated modules over Artin algebras are characterized as dualities with respect to Wakamatsu tilting bimodules. By restriction of…
math.RT2022
Homological theory of orthogonal modules
Hongxing Chen, Changchang Xi
Tachikawa's second conjecture predicts that a finitely generated, orthogonal module over a finite-dimensional self-injective algebra is projective. This conjecture is an important…