We introduce a very general extension of the monomorphism category as studied by Ringel
and Schmidmeier which in particular covers generalized species over locally bounded …

In 2016, Garner and Schappi gave a criterion for existence of finite biproducts in a specific
class of monoidal categories. We provide an elementary proof of (a slight generalization of) …

We prove that a profinite algebra whose left (right) cyclic modules are torsionless is finite
dimensional and QF. We give a relative version of the notion of left (right) PF ring for …

We study arbitrary algebras all of whose indecomposable finite dimensional representations
are uniserial, or more generally, comodules over serial coalgebras. We show that the infinite …

Централно мјесто у овој дисертацији заузимају резултати кохеренције за одређене
типове затворених категорија. Резултати кохеренције у теорији категорија обично …

We consider the pure semisimplicity conjecture in the infinite dimensional case: if in the
category A-lf of locally finite left A-modules over an algebra A every object decomposes as a …

Central place in this thesis occupy the coherence results for certain types of closed
categories. Coherence results in category theory usually serve to provide a simple decision …

Let and be two corings over a ring A and be a morphism of corings. We investigate the
situation when the associated induced (“corestriction of scalars”) functor ℳ→ ℳ is a …

A category C with (countable) biproducts admits summation of countable families of arrows.
If this summation is also idempotent, then a version of limit-colimit coincidence holds. In …

In 1973, Lawvere popularized enriched categories by means of generalized metric spaces
([6]). Since this fundamental paper, various mathematical objects have been successfully …