1999/06/07 by Lucian M. Ionescu, Ionescu, Lucian M.
Mathematics · #18A05 (Primary) 16Nxx (Secondary) #18G50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.math/9906039
openalex publication_date 1999/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Ideals are used to define homological functors for additive categories. In abelian categories the ideals corresponding to the usual universal objects are principal, and the construction reduces, in a choice dependent way, to homology groups. Applications are considered: derived categories and functors.