### On the category of modules of second kind for Galois coverings

Piotr Dowbor (1996)

Fundamenta Mathematicae

Similarity:

Let F: R → R/G be a Galois covering and $mo{d}_{1}(R/G)$ (resp. $mo{d}_{2}(R/G)$) be a full subcategory of the module category mod (R/G), consisting of all R/G-modules of first (resp. second) kind with respect to F. The structure of the categories $\left(mod(R/G)\right)/\left[mo{d}_{1}(R/G)\right]$ and $mo{d}_{2}(R/G)$ is given in terms of representation categories of stabilizers of weakly-G-periodic modules for some class of coverings.