Motivated by the intensive and powerful works concerning additive‎ ‎mappings of operator algebras‎, ‎we mainly study Lie-type higher‎ ‎derivations on operator algebras in the current work‎. ‎It is shown‎ ‎that every Lie (triple-)higher derivation on some classical operator‎ ‎algebras is of standard form‎. ‎The definition of Lie $n$-higher‎ ‎derivations on operator algebras and related pot...

Abstract In this paper, we present a general method to derive the explicit constitutive relations for isotropic elastic 6-parameter shells made from Cosserat material. The dimensional reduction procedure extends methods of classical shell theory case shells. Starting three-dimensional parent model, perform integration over thickness and obtain consistent model order $$ O(h^5) <mml:math xmlns:mm...

The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(alpha,beta)$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized derivation can be a continuous and an inner $(alpha,beta)$-derivation.

When counterfactual questions are posed too far from the data, statistical inference can become highly dependent on seemingly trivial but indefensible modeling assumptions. Choosing one or only a few specifications to publish in the presence of model dependence makes conclusions largely nonempirical and subject to criticism from others who make different choices and find contradictory results. ...

For a field k with an automorphism σ and a derivation δ, we introduce the notion of liouvillian solutions of linear difference-differential systems {σ(Y ) = AY, δ(Y ) = BY } over k and characterize the existence of liouvillian solutions in terms of the Galois group of the systems. We will give an algorithm to decide whether such a system has liouvillian solutions when k = C(x, t), σ(x) = x + 1,...

The emergence of knowledge-based organisations has seen an emphasis shift to recognising people as the prime competitive asset and the push of management to nurture social capital within organisations. This supposedly hatches an environment of openness, trust and open communication, thereby leading to greater knowledge sharing within organisational members. A well managed knowledge management p...