2 citations · 3 across the 4 of their papers we have counts for
5 papers
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…
Symmetric subcategories, tilting modules and derived recollements
Hongxing Chen, Changchang Xi
For any good tilting module over a ring , there exists an -symmetric subcategory of a module category such that the derived category of the endomorphism rin…
Derived decompositions of abelian categories I
Hongxing Chen, Changchang Xi
Derived decompositions of abelian categories are introduced in internal terms of abelian subcategories to construct semi-orthogonal decompositions (or Bousfield localizations, or h…
Rigidity dimension - a homological dimension measuring resolutions of algebras by algebras of finite global dimension
Hongxing Chen, Ming Fang, Otto Kerner +2
A new homological dimension is introduced to measure the quality of resolutions of `singular' finite dimensional algebras (of infinite global dimension) by `regular' ones (of finit…
Ortho-symmetric modules, Gorenstein algebras and derived equivalences
Hongxing Chen, Steffen Koenig
A new homological symmetry condition is exhibited that extends and unifies several recently defined and widely used concepts. Applications include general constructions of tilting…