85 citations · 124 across the 19 of their papers we have counts for
4 papers · 1 filter
Duality pairs, generalized Gorenstein modules, and Ding injective envelopes
James Gillespie, Alina Iacob
Let be a general ring. Duality pairs of -modules were introduced by Holm-Jorgensen. Most examples satisfy further properties making them what we call semi-complete duality p…
Hereditary abelian model categegories
James Gillespie
We discuss some recent developments in the theory of abelian model categories. The emphasis is on the hereditary condition and applications to homotopy categories of chain complexe…
The derived category with respect to a generator
James Gillespie
Consider a Grothendieck category along with a choice of generator , or equivalently a generating set . We introduce the derived category ,…
The homotopy category of N-complexes is a homotopy category
James Gillespie
We show that the category of N-complexes has a Str\om model structure, meaning the weak equivalences are the chain homotopy equivalences. This generalizes the analogous result for…