Let R be a commutative ring with identity and let M be a unital left R-module.
A.Tercan introduced the following concept.An R-module M is called a CLSmodule
if every y-closed submodule is a direct summand .The main purpose of this
work is to develop the properties of y-closed submodules.
In education, exams are used to asses students’ acquired knowledge; however, the manual assessment of exams consumes a lot of teachers’ time and effort. In addition, educational institutions recently leaned toward distance education and e-learning due the Coronavirus pandemic. Thus, they needed to conduct exams electronically, which requires an automated assessment system. Although it is easy to develop an automated assessment system for objective questions. However, subjective questions require answers comprised of free text and are harder to automatically assess since grading them needs to semantically compare the students’ answers with the correct ones. In this paper, we present an automatic short answer grading metho
... Show MoreLet R be a Г-ring, and σ, τ be two automorphisms of R. An additive mapping d from a Γ-ring R into itself is called a (σ,τ)-derivation on R if d(aαb) = d(a)α σ(b) + τ(a)αd(b), holds for all a,b ∈R and α∈Γ. d is called strong commutativity preserving (SCP) on R if [d(a), d(b)]α = [a,b]α(σ,τ) holds for all a,b∈R and α∈Γ. In this paper, we investigate the commutativity of R by the strong commutativity preserving (σ,τ)-derivation d satisfied some properties, when R is prime and semi prime Г-ring.
A topological index, commonly referred to as a connectivity index, is a molecular structural descriptor that describes a chemical compound's topology. Topological indices are a major topic in graph theory. In this paper, we first define a new graph, which is a concept from the coronavirus, called a corona graph, and then we give some theoretical results for the Wiener and the hyper Wiener index of a graph, according to ( the number of pairs of vertices (u, v) of G that are at a distance . Moreover, calculate some topological indices degree-based, such as the first and second Zagreb index, , and index, and first and second Gourava index for the recent graph. In addition, we introduced a new topological index, the , w
... Show MoreMultilayer reservoirs are currently modeled as a single zone system by averaging the reservoir parameters associated with each reservoir zone. However, this type of modeling is rarely accurate because a single zone system does not account for the fact that each zone's pressure decreases independently. Pressure drop for each zone has an effect on the total output and would result in inter-flow and the premature depletion of one of the zones. Understanding reservoir performance requires a precise estimation of each layer's permeability and skin factor. The Multilayer Transient Analysis is a well-testing technique designed to determine formation properties in more than one layer, and its effectiveness over the past two decades has been
... Show MoreYeast strain S9, which produced a high amount of biosurfactant, was isolated from pickledolive and identified as a strain of Candida guilliermondii using VITTEK 2 compact system, this strain was selected out of 13bioemulsifier producing strains. The effects of some environmental and nutritional factors on biosurfactant production were evaluated, the maximum value of E24% was observed at pH 4 which was 70% and the optimal temperature for biosurfactant production was 30 °C, E24% was 75%. Among different edible and heavy oils, the sesame oil and heavy oil 150 were the best carbon sources in production of biosurfactant, E24% was82% and 78% respectively and among different organic and inorganic nitrogen sources, the yeast extract was the bes
... Show MoreThis study was performed by using the unsaturated polyester resin as matrix to the
composite materials with the rice husk as reinforced materials . The research included study
of wear test on the composite material The results show that the, wear is increased with the
increase of applied load and distance slipping and also with time increase . moreover the
shows that the higher value wear rate( 1.91gm/cm) from the load (20) N and the higher value
wear rate (1.43gm/cm) from the higher distance (4cm) and from the higher time (6min) higher
wear rate (5.33gm/cm).
The research aims to delve into the nature of international financial reporting standards and the unified accounting system adopted in the Iraqi environment and financial ratios in the theoretical side. In the practical aspect, the results of some financial ratios of Basrah Gas Company were compared with the adoption of the financial statements prepared on the basis of the consolidated accounting system with the prepared financial statements Based on the International Financial Reporting Standards (IFRS). The research has reached a number of conclusions, including a difference in the accounting rules and practices between IFRS and the consolidated accounting system in force in Iraq. The adoption of IFRS has led to a decrease in profitabi
... Show More