… Nevertheless, this category does have products: the product of a set of groups is … the category
of torsion abelian groups is a coreflective subcategory of the category of all abelian groups …

… (T) of a triangulated category T can be dened G] in a similar way to that of an abelian category,
and if T = Db(R) for some nite-dimensional k-algebra R, then K0(T) is a free abelian group …

… role in a triangulated category to that played by short exact sequences in an abelian category.
We can regard D'(mod (kA)) as an extension of the module category: we can embed mod (…

Let Σ be a locally compact Hausdorff space and A an algebra of complex-valued continuous
functions on Σ which contains the constant functions. Assume that Σ carries the weakest …

… functors preserve and reflect the weak relative Rickart property under some mild condition. …
abelian categories, abelian coreflective and reflective full subcategories of abelian categories…

… of a finite Rickart C*-algebra is zero, and it follows that every finite Rickart C*-algebra is
embeddable in a finite AW*-algebra. We require the following properties of finite Rickart C*-…

… ) relative Rickart properties of certain classes of objects. We show that an abelian
category A is spectral if and only if A has enough injectives and every (injective) object is self-Rickart. …

… of which locally compact abelian groups have the property that … which locally compact
abelian groups have the property that … Since we shall only be concerned with abelian groups we …

… Section 4 is devoted to Rickard’s Morita theory for derived categories [29]. We give his
characterization of derived equivalences, list the most important invariants under derived …

… of bounded complexes over mod-/l, and by Kb(PA) we mean the homotopy category of …
category and let X* and Y* be objects of K(A). There is a double complex of abelian groups …