Large N topological string dualities have led to a class of proposed open/closed dual-ities for superstrings. In the topological string context, the worldsheet derivation of these dualities has already been given. In this paper we take the first step in deriving the full ten-dimensional superstring dualities by showing how the dualities arise on the superstring worldsheet at the level of F term...

In a recent paper by the authors, the associative and the Lie algebras of Weyl type A[D] = A⊗F[D] were introduced, where A is a commutative associative algebra with an identity element over a field F of any characteristic, and F[D] is the polynomial algebra of a commutative derivation subalgebra D of A. In the present paper, a class of the above associative and Lie algebras A[D] with F being a ...

We study certain properties of derivations on semiprime rings. The main purpose is to prove the following result: let R be a semiprime ring with center Z(R), and let f , g be derivations of R such that f(x)x+xg(x) ∈ Z(R) for all x ∈ R, then f and g are central. As an application, we show that noncommutative semisimple Banach algebras do not admit nonzero linear derivations satisfying the above ...

We investigate Gottlieb maps, which are maps f : E → B that induce the maps between the Gottlieb groups πn(f)|Gn(E) : Gn(E) → Gn(B) for all n, from a rational homotopy theory point of view. We will define the obstruction group O(f) to be a Gottlieb map and a numerical invariant o(f). It naturally deduces a relative splitting of E in certain cases. We also illustrate several rational examples of...

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

Abstract Let S be a domain and R = [ t ; σ, δ ] skew polynomial ring, where σ is an injective endomorphism of left -derivation. We give criteria for polynomials f ∈ degree less or equal to four irreducible. apply them low in quantized Weyl algebras the quantum planes. also consider ( ) m − .

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...

It is shown that a termination proof for a term rewriting system using a lexicographic path ordering yields a multiply recursive bound on the length of derivations, measured in the depth of the starting term. This result is essentially optimal since for every multiply recursive function f a rewrite system (which reduces under the lexicographic path ordering) can be found such that its derivatio...

We present the technique of derivation of a theory to obtain an (n + 1)f-degrees-of-freedom theory from an f-degrees-of-freedom theory and show that one can calculate all of the quantities of the derived theory from those of the original one. Speciically, we show that one can use this technique to construct, from an integrable system, other integrable systems with more degrees of freedom.

Let U = Tri(A,M,B) be a triangular algebra, where A, B are unital algebras over a field F and M is a faithful (A,B)-bimodule. Assume that ξ ∈ F and L : U → U is a map. It is shown that, under some mild conditions, L is linear and satisfies L([X, Y ]) = [L(X), Y ] + [X,L(Y )] for any X,Y ∈ U with [X, Y ] = XY − Y X = 0 if and only if L(X) = φ(X) + ZX + f(X) for all A, where φ is a linear derivat...