4 citations · 15 across the 20 of their papers we have counts for
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Criteria for preserving the category cohomology for the inverse image
Ahmet A. Husainov
The article investigates the question of under what conditions a functor between small categories preserves cohomology groups when passing to the inverse image. For example, it is…
Global Dimension of Polynomial Rings in Partially Commuting Variables
Ahmet A. Husainov
For any free partially commutative monoid , we compute the global dimension of the category of -objects in an Abelian category with exact coproducts. As a corollary…
On the Cubical Homology Groups of Free Partially Commutative Monoids
Ahmet A. Husainov
We study a Leech homology of a locally bounded free partially commutative monoid . Given a contravariant natural system of abelian groups on we build a precubi…
Flows in Graphs and Homology of Free Categories
A. A. Husainov, H. Calisici
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…
On Ext in the Category of Functors to Preabelian Category
A. A. Husainov, A. Pancar, M. Yapici
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 constr…