4 papers · 1 filter
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 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…
On stable-projective and injective-costable decompositions of modules
Dali Zangurashvili
It is proved that, for a left hereditary ring, an arbitrary left module has a representation in the form of the direct sum of a stable left module and indecomposable projective lef…
The stable category of a left hereditary ring
Alex Martsinkovsky, Dali Zangurashvili
The (co)completeness problem for the (projectively) stable module category of an associative ring is studied. (Normal) monomorphisms and (normal) epimorphisms in such a category ar…