in 2001, s. bulman-fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $a_{s}$ over a monoid $s$ that can be described by means of when the functor $a_{s} otimes -$ preserves pullbacks. in this paper, we extend these results to$s$-posets and present equivalent descriptions of weakly kernel po...

In 2001, S. Bulman-Fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $A_{S}$ over a monoid $S$ that can be described by means of when the functor $A_{S} otimes -$ preserves pullbacks. In this paper, we extend these results to $S$-posets and present equivalent descriptions of weakly kernel p...

This paper studies logarithmic depreciation which is similar to conventional geometric depreciation, except that capital and investment are replaced by their logarithms. We provide empirical theoretical evidence can account for aggregate better than more complicated methods have additional parameters. document consumption decisions in the United States other countries appear be made under erron...

In this paper we use the idea of logarithmic density to define the concept of logarithmic statistical convergence. We find the relations of logarithmic statistical convergence with statistical convergence, statistical summability (H, 1) introduced by Móricz (Analysis 24:127-145, 2004) and [H, 1]q-summability. We also give subsequence characterization of statistical summability (H, 1). MSC: 40A0...

The damping effect of the free-streaming neutrinos on second order gravitational waves is investigated in detail. We solve Boltzmann equation and give anisotropic stress induced by to order. first tensor its coupling with scalar perturbations are considered. analytic equations kernel functions finally obtain energy density spectrum. results show that suppress spectrum significantly for low freq...