Cat. A1

Zavadskij modules over cluster-tilted algebras of type 𝔸

Zavadskij modules are uniserial tame modules. They arose from interactions between the poset representation theory and the classification of general orders. The main problem is to characterize Zavadskij modules over a finite-dimensional algebra A. In …

The Decoherence-Free Subalgebra of Gaussian Quantum Markov Semigroups

We demonstrate a method for finding the decoherence-free subalgebra N(T) of a Gaussian quantum Markov semigroup on the von Neumann algebra B(Γ(Cd)) of all bounded operator on the Fock space …

The Kossakowski Matrix and Strict Positivity of Markovian Quantum Dynamics

We investigate the relationship between strict positivity of the Kossakowski matrix, irreducibility and positivity improvement properties of Markovian quantum dynamics. We show that for a Gaussian quantum dynamical semigroup strict positivity of the …

Expanding measure has nonuniform specification property on random dynamical system

In the present paper, we study the distribution of the return points in the fibers for a random nonuniformly expanding dynamical system, preserving an ergodic probability. We also show the abundance of nonlacunarity of hyperbolic times that are …

Vanishing viscosity limit for Riemann solutions to a 2×2 hyperbolic system with linear damping

In this paper, we propose a time-dependent viscous system and by using the vanishing viscosity method we show the existence of solutions for the Riemann problem to a particular 2x2 system of conservation laws with linear damping.

Mucilage and cellulosic derivatives as clarifiers for the improvement of the non-centrifugal sugar production process

Non-centrifugal cane sugar (NCS) is the second most important Colombian agribusiness in social importance. However, the sugar cane industry is facing some challenges caused by the controversial nutritional and safety attributes of NCS. Some Colombian …

Riemann problems and delta-shock solutions for a Keyfitz-Kranzer system with a forcing term

In this work, we study Riemann problems and delta-shock solutions for a nonsymmetric Keyfitz-Kranzer system with a Coulomb-like friction term or linear damping. We show the existence of an intricate delta-shock wave solution and its generalized …

Radicals and Köthe's conjecture for skew PBW extensions

The aim of this paper is to investigate different radicals (Wedderburn radical, lower nil radical, Levitzky radical, upper nil radical, the set of all nilpotent elements, the sum of all nil left ideals) of the noncommutative rings known as skew …

A review on the productive potential of the Muscovy Duck

Muscovy ducks (*Cairina moschata*) are one of the most exploited species in the duck-farming industry due to their large size, meat quality, and considerable economic value for small farmers and large factories. This study reviews the available …

Gaussian Quantum Markov Semigroups on a One-Mode Fock Space: Irreducibility and Normal Invariant States

We consider the most general Gaussian quantum Markov semigroup on a one-mode Fock space, discuss its construction from the generalized GKSL representation of the generator. We prove the known explicit formula on Weyl operators, characterize …