… from the point of view of localization of abelian categories. Verdier gave a condition which is
… tpaisse subcategories [16]. We show that localization of triangulated categories is similarly …

… framework for localization theory of triangulated categories C, … if the localization CN
corresponds to a triangulated category. … Furthermore, it is revealed that CN is an exact category if …

… For a compactly generated triangulated category we gives a new proof for the fact that the
category of … , but also the localization of the category of finitely presented modules over the full …

… In Section 4, we recall the definition of a triadic category [… triangulated categories are
related to derived categories. As mentioned above, the triadic category M(Л) is even an Ext-category…

… This exposition is the second part of our study of triangulated categories in algebraic geometry.
We shall explain the definition and fundamental properties of a localization of a category …

… quotient of a Hom-finite triangulated category C by the kernel of the … localization of the
quotient at the class of regular morphisms is abelian. We show that it is equivalent to the category …

… of compact objects in these categories. If the given recollement … categories of these
triangulated categories, which generalizes the localization sequence for the singularity categories of …

… The aim of this thesis is to develop a localization theory in the higher homological algebra of
… categories. Analogously to the classical cases of an abelian or a triangulated category, we …

… construction of the quotient of a triangulated category by a triangulated subcategory. … category
of triangulated categories and triangulated functors to the 2-category of abelian categories …

… of localization, which we will call categorical localization, is … localization and colocalization
of triangulated categories we have left Bousfield localization and right Bousfield localization of …