On Higher Derivations of Lattices

In this paper, as a generalization of derivation on a lattice, the notion of higher derivation is introduced and some fundamental properties are investigated for the higher derivation on a lattice. Furthermore it is shown that the image of an ideal and the set of fixed points under higher derivation are ideals under certain conditions. Keywords: derivation, higher derivation, lattic

Generalized Symmetric (f,g) – Biderivations on Lattices

In this paper, we introduce the notion of generalized symmetric  -derivations on lattices, also some properties of generalized symmetric - derivations we studies

A Study of Derivations on Lattices

In this paper we introduce the notion..................

M-theory/heterotic Duality: a Kaluza-Klein Perspective

We study the duality relationship between M-theory and heterotic string theory at the classical level, emphasising the transformations between the Kaluza-Klein reductions of these two theories on the K3 and T^3 manifolds. Particular attention is devoted to the corresponding structures of sigma-model cosets and the correspondence between the p-brane charge lattices. We also present simple and detailed derivations of the global symmetries and coset structures of the toroidally-compactified heterotic theory in all dimensions D \ge 3, making use of the formalism of solvable Lie algebras.Comment: Latex, 60 pages, Latex 3 time