We calculate the number of extensions of Raynaud schemes over the ring of integers of an absolutely ramified p-adic field with the trivial generic fibers by counting the rational points of the moduli space of finite flat models. Introduction Let K be a totally ramified extension of degree e over Qp for p > 2, and F be a finite field of characteristic p. We consider the constant group scheme CF ...

Microfiltration can clarify pomegranate juice; however, fouling is a limiting phenomenon in the process. In current work ultrasound was applied above and below the membrane surface to reduce fouling after removing temperature effect. A hydrophilic mixed cellulose ester membrane with pore size of 0.45 μm was used in lab scale flat sheet module. Membrane module was placed above and below the ultr...

Microfiltration can clarify pomegranate juice; however, fouling is a limiting phenomenon in the process. In current work ultrasound was applied above and below the membrane surface to reduce fouling after removing temperature effect. A hydrophilic mixed cellulose ester membrane with pore size of 0.45 μm was used in lab scale flat sheet module. Membrane module was placed above and below the ultr...

Recently two different concepts of covers of acts over monoids have been studied by a number of authors and many interesting results discovered. One of these concepts is based on coessential epimorphisms and the other is based on Enochs’ definition of a flat cover of a module over a ring. Two recent papers have suggested that in the former case, strongly flat covers are not unique. We show that...

Abstract:  Introduction: The current study as a part of our investigation on improving emotional and behavioural health in Malaysian orphanages was aimed to establish Content Validity Index (CVI) as well as Face Validity of a new life skill-based module for improving emotional health and coping mechanisms in Malaysian Institutionalised Adolescents including 2 different parts. Methods: In...

In this document we illustrate the module preservation statistics on simulated data. We describe the simulation method and seven simulation studies in more detail than in the main text. The design and main results of the simulations are summarized in Figure 8 of the main article which we reproduce here for convenience in Figure 1. A complete table of results can be found in the accompanying Sup...

let $r$ be a commutative ring with identity and let $m$ be an $r$-module. a proper submodule $p$ of $m$ is called strongly prime submodule if $(p + rx : m)ysubseteq p$ for $x, yin m$, implies that $xin p$ or $yin p$. in this paper, we study more properties of strongly prime submodules. it is shown that a finitely generated $r$-module $m$ is artinian if and only if $m$ is noetherian and every st...