The definition of a pseudo-dualizing complex is obtained from that of a dualizing complex by
dropping the injective dimension condition, while retaining the finite generatedness and …

arXiv:0710.5065v3 [math.AT] 28 Oct 2008 Page 1 arXiv:0710.5065v3 [math.AT] 28 Oct 2008
ON DERIVED CATEGORIES AND DERIVED FUNCTORS SAMSON SANEBLIDZE Abstract …

We study the homotopy category KN (B) of N‐complexes of an additive category B and the
derived category DN (A) of an abelian category A. First we show that both KN (B) and DN (A) …

We give a construction of triangulated categories as quotients of exact categories where the
subclass of objects sent to zero is defined by a triple of functors. This includes the cases of …

In this paper we propose an approach to homotopical algebra where the basic ingredient is
a category with two classes of distinguished morphisms: strong and weak equivalences …

Linear bicategories are a generalization of ordinary bicategories in which there are two
horizontal (1-cell) compositions corresponding to the “tensor” and “par” of linear logic …

We show that a right triangulated category is best behaved when its shift satisfies conditions
making it what we call a right semi-equivalence. We consider right triangulated categories …

Let T be a triangulated category with products. A subcategory S⊂ T is called colocalizing if it
is triangulated and closed under products. Given any class of objects T⊂ T, the smallest …

We investigate the properties of pure derived categories of module categories, and show
that pure derived categories share many nice properties of classical derived categories. In …

Recall that a module X over some associative ring R is endofinite if X has finite length when
viewed as a module over its endomorphism ring EndR (X). Such modules have been …