Displaying similar documents to “Construction of an homology and a cohomology theory associated to a first order formula”

A Morita type theorem for a sort of quotient categories

Simion Breaz (2005)

Czechoslovak Mathematical Journal

Similarity:

We consider the quotient categories of two categories of modules relative to the Serre classes of modules which are bounded as abelian groups and we prove a Morita type theorem for some equivalences between these quotient categories.

Properties of G-atoms and full Galois covering reduction to stabilizers

Piotr Dowbor (2000)

Colloquium Mathematicae

Similarity:

Given a group G of k-linear automorphisms of a locally bounded k-category R it is proved that the endomorphism algebra E n d R ( B ) of a G-atom B is a local semiprimary ring (Theorem 2.9); consequently, the injective E n d R ( B ) -module ( E n d R ( B ) ) * is indecomposable (Corollary 3.1) and the socle of the tensor product functor - R B * is simple (Theorem 4.4). The problem when the Galois covering reduction to stabilizers with respect to a set U of periodic G-atoms (defined by the functors Φ U : B U m o d k G B m o d ( R / G ) and Ψ U : m o d ( R / G ) B U m o d k G B )is full (resp. strictly full)...