9 citations · 63 across the 28 of their papers we have counts for
4 papers · 1 filter
The nonabelian bar resolution
Lucian M. Ionescu
The theory of parity quasi-complexes (PQC) is developed, preparing a set up for defining derived functors using resolutions in the nonabelian case. A homotopy structure on the cate…
On Categorification
Lucian M. Ionescu
We review several known categorification procedures, and introduce a functorial categorification of group extensions with applications to non-abelian group cohomology. Categorifica…
On Ideals and Homology in Additive Categories
Lucian M. Ionescu
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 constru…
On Parity Complexes and Non-abelian Cohomology
Lucian M. Ionescu
To characterize categorical constraints - associativity, commutativity and monoidality - in the context of quasimonoidal categories, from a cohomological point of view, we define t…