2 Faculty of Science, Department of Mathematics, Guilan University, Rasht, Iran [email protected] Abstract: In A generalization of the original Diffie-Hellman key exchange in (Z/pZ)* found a new depth when Miller and Koblitz suggested that such a protocol could be used with the group over an elliptic curve. Maze, Monico and Rosenthal extend such a generalization to the setting of a Semi-gro...

We study presentations of the virtual dualizing modules special linear groups number rings, Steinberg modules. Bykovskii gave a presentation for integers, and our main result is generalization this to Gaussian integers Eisenstein integers. also show that does not give several Euclidean rings.

Two methods for the extension of neuro-modules are introduced resulting in a new behavioral functionality. We call them restricted and semi-restricted module expansion. These methods are developed and applied using a modular neuro-dynamics approach to behavior control of autonomous mobile robots. Evolved neuro-controllers which solve an obstacle avoidance task are expanded to show in addition a...

Following our approach to metric Lie algebras developed in a previous paper we propose a way of understanding pseudo-Riemannian symmetric spaces which are not semi-simple. We introduce cohomology sets (called quadratic cohomology) associated with orthogonal modules of Lie algebras with involution. Then we construct a functorial assignment which sends a pseudo-Riemannian symmetric space M to a t...

let a be a banach algebra and e be a banach a-bimodule then s = a  e, the l1-direct sum of a and e becomes a module extension banach algebra when equipped with the algebras product (a; x):(a′; x′) = (aa′; a:x′ + x:a′). in this paper, we investigate △-amenability for these banach algebras and we show that for discrete inverse semigroup s with the set of idempotents es, the module extension bana...

let $r$ be a commutative ring with identity and $m$ be a finitely generated unital $r$-module. in this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. moreover, we investigate some conditions which imply that the module $m$ is the direct sum of some cyclic modules and free modules. then some properties of fitting ideals of...

Pharmaceutical promotion is an integral part of modern medical practice. Surveys show that medical students have a positive attitude towards promotion. Pharmaceutical promotion is not adequately taught in medical schools. A module based on the manual produced by Health Action International was conducted for second year medical students at KIST Medical College, Lalitpur, Nepal. Student feedback ...

In a recent paper,1 K. Asano gave a new proof of the theorem that a domain of integrity has a right quotient ring if and only if every pair of nonzero elements has a common nonzero right multiple. His method of proof is used in the present work to extend the centralizer of a ring over a module to a system of semi-endomorphisms of the module. From this extension, necessary and sufficient conditi...