On the integration theorem for Lie groupoids
On the jets of fibred manifold morphisms
On the K-Theory of Algebraically Closed Fields.
On the -valued categories of --ordered sets
The aim of this paper is to construct an -valued category whose objects are --ordered sets. To reach the goal, first, we construct a category whose objects are --ordered sets and morphisms are order-preserving mappings (in a fuzzy sense). For the morphisms of the category we define the degree to which each morphism is an order-preserving mapping and as a result we obtain an -valued category. Further we investigate the properties of this category, namely, we observe some special objects, special...
On the maximal exact structure of an additive category
We prove that every additive category has a unique maximal exact structure in the sense of Quillen.
On the monadicity of categories with chosen colimits.
On the monadicity over graphs of categories with limits
On the monoids of homomorphisms of semigroups with unity
On the nerve of an -category
On the notion of precohomology
On the object-wise tensor product of functors to modules.
On the corresponding to bialgebras
On the plus construction for BGL Z [...] at the prime 2.
On the preservation of homotopy invariance by Kan extensions
On the Projective Class Group of Arithmetic Groups.
On the pullback stability of a quotient map with respect to a closure operator.
On the reflective hull problem
On the relation between maximal rigid objects and τ-tilting modules
This note compares τ-tilting modules and maximal rigid objects in the context of 2-Calabi-Yau triangulated categories. Let be a 2-Calabi-Yau triangulated category with suspension functor S. Let R be a maximal rigid object in and let Γ be the endomorphism algebra of R. Let F be the functor . We prove that any τ-tilting module over Γ lifts uniquely to a maximal rigid object in via F, and in turn, that projection from to mod Γ sends the maximal rigid objects which have no direct summands from add...
On the relations between abstract and geometrical equivalence of abstract objects
On the representability of actions in a semi-abelian category.