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This presents some skew derivations in semiprime rings. Let 𝑅 be a semiprime ring, 𝐹: 𝑅 → 𝑅 be
a generalized skew derivation associated with skew derivation 𝑑 and 𝐻: 𝑅 → 𝑅 be a left centralizer. If (i)
𝐹(𝑢𝑣) ∓ 𝐻(𝑢𝑣) = 0 (ii) 𝐹(𝑢𝑣) ∓ 𝐻(𝑣𝑢) = 0; (iii) 𝐹(𝑢)𝐹(𝑣) ∓ 𝐻(𝑢𝑣) = 0; (iv) 𝐹(𝑢𝑣) ∓ 𝐻(𝑢𝑣) ∈ 𝐶1,𝛼;
(v) 𝐹(𝑢𝑣) ∓ 𝐻(𝑣𝑢) ∈ 𝐶1,𝛼; (vi) 𝐹(𝑢)𝐹(𝑣) ∓ 𝐻(𝑢𝑣) ∈ 𝐶...
Many people think that Sustainable Development and Mathematics are completely unrelated. The mathematical models, methods and challenges are enormous in the sustainable management practices or issues which are hugely complex, requiring more subtle scientific and mathematical and statistical tools. The mathematical and numerical models and soft syst...
This paper proved that if R is a semiprime *-ring of char. ¹ 6 and G: R ® R is an additive mapping
satisfying the relation G(xyx) = x*y*G(x) + x*D(y)x + D(x)yx for all x,y in R, where D is some reverse Jordan *-
derivation of R, then G is a Reverse Jordan *-generalized derivation.
This paper presents state of the art in designing, implementing, and testing web software and assesses the software reliability of web applications by using software reliability growth models. This paper discussed the relevant reliability issues and best practices of growth models in terms of web software reliability.
This paper presents reliability system prediction technique based on the evidential reasoning (ER) algorithm is developed and applied to forecast reliability in turbocharger engine systems. The focus of this study is to examine the feasibility and validity of the ER algorithm in systems reliability prediction by comparing it with some existing appr...
Investigating the effect technology has on the secondary mathematics classroom instruction has been a growing topic in mathematics education since calculators and computers became readily available to students and teachers. Most of the focus has been on students' use of technology to enhance their mathematical knowledge, while teacher use of techno...
In ecology, sustainability is how biological systems remain diverse and productive. Creative approaches at the interface of environment and ecology, statistics, mathematics, informatics, and computational science are essential for improving our understanding of complex ecological systems. The new information technologies, including powerful compute...
The reliability characteristic such as probability of survival, mean time to failure, frequency of failures and mean down time depend on the design and topological layout of the system. This paper deals with a single unit system that is operating in an environment exposed to the hazards of common cases failures, under some general assumptions the o...