2 citations · 2 across the 7 of their papers we have counts for
9 papers
Hereditarily and Super Bassian Modules over Certain Rings
Peter Vassilev Danchev, Truong Cong Quynh, Jan Žemlička
We characterize in certain basic cases when a module over a ring is either {\it hereditarily Bassian} or {\it super Bassian} in the sense that either each its proper submodule is B…
Deep Learning in the Sequence Space
Marlon Azinovic-Yang, Jan Žemlička
We develop a deep learning algorithm for constructing globally accurate approximations to functional rational expectations equilibria of dynamic stochastic economies in the sequenc…
Economics-Inspired Neural Networks with Stabilizing Homotopies
Marlon Azinovic, Jan Žemlička
Contemporary deep learning based solution methods used to compute approximate equilibria of high-dimensional dynamic stochastic economic models are often faced with two pain points…
Perfect monoids with zero and categories of -acts
Josef Dvořák, Jan Žemlička
In this paper, we study the relationship between the two main categories of -acts for a monoid with zero from the viewpoint of existence of projective covers and the equival…
Self-small products of abelian groups
Josef Dvořák, Jan Žemlička
For abelian groups , is called -small if the covariant functor commutes with all direct sums and is self-small provided it is -small. The p…
Autocompact objects of Ab5 categories
Josef Dvořák, Jan Žemlička
The aim of the paper is to describe autocompact objects in Ab5-categories, i.e. objects in cocomplete abelian categories with exactness preserving filtered colimits of exact sequen…
Connected objects in categories of -acts
Josef Dvořák, Jan Žemlička
In this paper, the categorial property of compactness of an object, i. e. commuting of the corresponding $\Hom$ functor with coproducts, is studied in categories of -acts and th…
Self-injective von Neumann regular rings and Köthe's Conjecture
Peter Kálnai, Jan Žemlička
One of the many equivalent formulation of the Köthe's conjecture is the assertion that there exists no ring which contains two nil right ideals whose sum is not nil. We discuss sev…
Compactness in abelian categories
Peter Kálnai, Jan Žemlička
We relativize the notion of a compact object in an abelian category with respect to a fixed subclass of objects. We show that the standard closure properties persist to hold in thi…