2014/10/13 by Yang Han, Han, Yang, Yongyun Qin +1 · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
paper · pdf · doi:10.48550/arxiv.1410.3223
Some remarks and references are added
openalex publication_date 2014/10/13 · arxiv created 2014/11/15 · arxiv updated 2016/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
n-recollements of triangulated categories and n-derived-simple algebras are introduced. The relations between the n-recollements of derived categories of algebras and the Cartan determinants, homological smoothness and Gorensteinness of algebras respectively are clarified. As applications, the Cartan determinant conjecture is reduced to 1-derived-simple algebras, and the Gorenstein symmetry conjecture is reduced to 2-derived-simple algebras.