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We consider a homogeneous action of a finite group on a free linear category over a field in order to prove that the subcategory of invariants is still free. Moreover we show that the representation type is preserved when considering invariants. [ABSTRACT FROM AUTHOR]

To a regular projection of a knot we associate a finite dimensional non-commutative associative algebra which is self-injective and special biserial. [ABSTRACT FROM AUTHOR]

Consider the intrinsic fundamental group à la Grothendieck of a linear category, introduced in our earlier papers using connected gradings. In this article we prove that any full convex subcategory is incompressible, in the sense that the group map between the corresponding fundamental groups is injective. We start by proving the functoriality of the intrinsic fundamental group with respect to full subcategories, based on the study of the restriction of connected gradings. [ABSTRACT FROM AUTHOR]

Let k be a commutative ring. We study the behavior of coverings of k-categories through fiber products and find a criterion for a covering to be Galois or universal. [ABSTRACT FROM AUTHOR]