Stratifying systems and Jordan-H\"{o} lder extriangulated categories
Stratifying systems, which have been defined for module, triangulated and exact categories
previously, were developed to produce examples of standardly stratified algebras. A …
previously, were developed to produce examples of standardly stratified algebras. A …
Δ-filtrations and projective resolutions for the Auslander–Dlab–Ringel algebra
T Conde - Algebras and Representation Theory, 2018 - Springer
The ADR algebra RA of an Artin algebra A is a right ultra strongly quasihereditary algebra
(RUSQ algebra). In this paper we study the Δ-filtrations of modules over RUSQ algebras and …
(RUSQ algebra). In this paper we study the Δ-filtrations of modules over RUSQ algebras and …
Split-by-nilpotent extensions algebras and stratifying systems
Let Γ and Λ be artin algebras such that Γ is a split-by-nilpotent extension of Λ by a two sided
ideal I of Γ. Consider the change of rings functors G:= ΓΓΛ⊗ Λ− and F:= ΛΛΓ⊗ Γ−. In this …
ideal I of Γ. Consider the change of rings functors G:= ΓΓΛ⊗ Λ− and F:= ΛΛΓ⊗ Γ−. In this …