In this paper, we study the classification of finite-dimensional real solvable Lie algebras whose derived are codimension 1 or 2. We present an effective method to classify (n+1)-dimensional having 1-codimensional provided that a full n-dimensional nilpotent is given. addition, problem classifying (n+2)-dimensional 2-codimensional proved be wild. case, subclass considered which extended from th...

using fixed pointmethods, we investigate approximately higher ternary jordan derivations in banach ternaty algebras via the cauchy functional equation$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z)~.$$

The basic Schema Theorem for genetic algorithms is modiied for a grammatically-based learning system. A context-free grammar is used to deene a language in which each sentence is mapped to a tness value. The derivation trees associated with these sentences are used to deene the structure of schemata. The eeect of crossover and mutation on schemata is described. A schema theorem is developed whi...

In this paper, we consider ultrapowers of Banach algebras as and the product $${{\bigcirc }_{{(J,\mathcal{U})}}}$$ on second dual algebras. For a algebra A, show that if there is continuous derivation from A into itself, then (A**, ) it. Moreover, X**, where X A-bimodule, ultrapower X; i.e., $${{(X)}_{\mathcal{U}}}$$ . Ultra (character) amenability investigated it will be shown every inner, ult...

The human embryonic stem cell line, KthES11, is derived from a normal healthy blastocyst donated for clinical research. inner mass (ICM) was isolated using mechanical dissection and plated on laminin fragments. Cell line derivation, its propagation storage were performed without feeders in an animal product-free environment according to current Good Manufacturing Practice (cGMP) standards. KthE...

In this work we consider the efficient computation of inner and outer products of arbitrary multi-dimensional arrays (tensors). Our algorithm was presented in a previous work and was derived and expressed using the formalism known as A Mathematics of Arrays (MoA) [1]. The routine maximizes data locality and computes both operations (inner and outer product) in a single piece of code. In this wo...

Let R be a prime ring, H a generalized derivation of R and L a noncommutative Lie ideal of R. Suppose that usH(u)ut = 0 for all u ∈ L, where s ≥ 0, t ≥ 0 are fixed integers. Then H(x) = 0 for all x ∈ R unless char R = 2 and R satisfies S4, the standard identity in four variables. Let R be an associative ring with center Z(R). For x, y ∈ R, the commutator xy− yx will be denoted by [x, y]. An add...