17 papers
Hereditary QF- rings
Dali Zangurashvili
With the aid of the torsion-theoretical approach, several properties/characterizations of hereditary QF- rings are found. These characterizations are formulated in terms of…
The factorization system of a radical on a homological category
Dali Zangurashvili
Employing the techniques of transporting a factorization system from one category to another via an adjunction, developed in our earlier papers, a factorization system is related t…
Effective codescent morphisms of Hausdorff topological spaces
Dali Zangurashvili
Our earlier results on effective codescent morphisms of Hausdorff topological spaces are strengthened and complemented. In particular, it is proved that any embedding $p:B\rightarr…
The criteria for the uniqueness of a weight homomorphism of a baric algebra
Dali Zangurashvili
The criteria for a baric algebra (over a field ) to have a unique weight homomorphism are found. One of them requires a certain system of equations to have a unique non-triv…
Effective codescent morphisms of -quasigroups and -loops
Dali Zangurashvili
Effective codescent morphisms of -quasigroups and of -loops are characterized. To this end, it is proved that, for any , every codescent morphism of -quasigroups…
A remark on normal closures in free products of groups
Dali Zangurashvili
It is shown that a nontrivial normal subgroup of a group is a free factor of the 's normal closure in the 's free product with arbitrary nontrivial groups.