arXiv subjects

A. A. Husainov

Publications and source records attributed to A. A. Husainov.

2 recordsLinked to original sources

arXiv2009

On Ext in the Category of Functors to Preabelian Category

The work is devoted to the extension groups in the category of functors from a small category to an additive category with an Abelian structure in the sense of Heller. It is constructed a spectral sequence which converges to the extension group. Example for diagrams of locally convex spaces is given.

math.CT↗

arXiv2001

Flows in Graphs and Homology of Free Categories

We introduce the notion of a generalized flow on a graph with coefficients in a R-representation and show that the module of flows is isomorphic to the first derived functor of the colimit. We generalize Kirchhoff's laws and build an exact sequence for calculating the module of flows on the union of graphs.

math.CT↗