Let Mk be a right k-module with endomorphism ring E = End(Mk). We prove that if E is an Abelian exchange ring then Mk has the full exchange property. We also give an extension of this result in the case E is regular.

Entanglement is a powerful resource for processing quantum information. In this context pure, maximally entangled states have received considerable attention. In the case of bi-partite qubit-systems the four orthonormal Bell-states are of this type. One of these Bell states, the singlet Bell-state, has the additional property of being antisymmetric with respect to particle exchange. In this con...

Density-functional theory requires ever better exchange-correlation (xc) functionals for the ever more precise description of many-body effects on electronic structure. Universal constraints on the xc energy are important ingredients in the construction of improved functionals. Here we investigate one such universal property of xc functionals: the Lieb-Oxford lower bound on the exchange-correla...

Convex geometries are closure spaces which satisfy anti-exchange property, and they are known as dual of antimatroids. We consider functions defined on the sets of the extreme points of a convex geometry. Faigle– Kern (1996) presented a greedy algorithm to linear programming problems for shellings of posets, and Krüger (2000) introduced b-submodular functions and proved that Faigle–Kern’s algor...

objective(s):recently anti-inflammatory effects of antidepressants have been demonstrated. venlafaxine belongs to newer antidepressants with serotonin norepinephrine reuptake inhibition property. the pain alleviating properties of venlafaxine in different pain models such as neurogenic pain, diabetic neuropathy, and fibromyalgia have been demonstrated. anti-inflammatory effects of venlafaxine a...

Tropical polyhedra are known to be representable externally, as intersections of finitely many tropical half-spaces. However, unlike in the classical case, the extreme rays of their polar cones provide external representations containing in general superfluous half-spaces. In this paper, we prove that any tropical polyhedral cone in R (also known as “tropical polytope” in the literature) admits...

Korte and Lovász [12, 13] founded the theory of greedoids . These combinatorial structures characterize a class of optimization problems that can be solved by greedy algorithms. In particular, greedoids generalize matroids , introduced earlier by Whitney [16]. Antimatroids , introduced by Dilworth [3] as particular examples of semimodular lattices, make up another class of greedoids. Antimatroi...

background: chronic myeloid leukemia is a common cancer in human and chemical therapy is a routine method for treatment that has some side effects. so the goal of this study was the use of natural compound such as cell wall obtained from saccharomyces cerevisiae ( s. cerevisiae ) and saccharomyces boulardi ( s. boulardi ) and iron nanoparticles on the growth inhibition of k562 cell line. method...

Background: Microbial infections and the resistance to antibacterial drugs are on the rise, and scientists are in search of the safest and most effective approach to overcome them. Medicinal plants are potentially effective against many microorganisms. Therefore, this study was planned to examine the antibacterial properties and cytotoxicity of the extracts of Allium sativum and Myrtus communis...