4 papers
Systems of Diagram Categories and K-theory. II
Grigory Garkusha
The additivity theorem for derivateurs associated to complicial biWaldhausen categories is proved. Also, to any exact category in the sense of Quillen a K-theory space is associate…
Systems of Diagram Categories and K-theory I
Grigory Garkusha
To any left system of diagram categories or to any left pointed derivateur (in the sense of Grothendieck) a K-theory space is associated. This K-theory space is shown to be canonic…
FP-injective and weakly quasi-Frobenius rings
Grigory Garkusha
The classes of FP-injective and weakly quasi-Frobenius rings are investigated. The properties for both classes of rings are closely linked with embedding of finitely presented modu…
Grothendieck Categories
Grigory Garkusha
The general theory of Grothendieck categories is presented. We systemize the principle methods and results of the theory, showing how these results can be used for studying rings a…