there are several kinds of hyperrings, for example, krasnerhyperrings, multiplicative hyperring, general hyperrings and$h_v$-rings. in a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. in this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated. {bf keywords:} multiplic...

In 1987 Squier defined the notion of finite derivation type for a finitely presented monoid. To do this, he associated a 2-complex to the presentation. The monoid then has finite derivation type if, modulo the action of the free monoid ring, the 1-dimensional homotopy of this complex is finitely generated. Cremanns and Otto showed that finite derivation type implies the homological finiteness c...

This paper concentrates on the study on the map fusion problem in the context of a multi-robot map building approach. Concretely it is seen as one of the steps towards the independent multi-robot map building. In the situation proposed a set of several robots performs map building tasks without the notion of other robots’ existence. Each robot builds its own local map using its observations and...

We investigate the stability of generalizedderivations on Banach algebras with a bounded central approximateidentity. We show that every approximate generalized derivation inthe sense of Rassias, is an exact generalized derivation. Also thestability problem of generalized derivations on the faithful Banachalgebras is investigated.

In this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. As a consequence of this, we prove the hyperstability of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras.

Let A be a unital R-algebra and M be a unital A-bimodule. It is shown that every Jordan derivation of the trivial extension of A by M, under some conditions, is the sum of a derivation and an antiderivation.

We consider the problem of seeking the source of a scalar signal using an autonomous vehicle modeled as the non-holonomic unicycle and equipped with a sensor of that scalar signal but not possessing the capability to sense either the position of the source nor its own position. We assume that the signal field is the strongest at the source and decays away from it. The functional form of the fie...

Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to root of a non-linear equation. A plethora applications chemistry and physics require solution equations abstract spaces iteratively. The derivation iterative requires expansions using Taylor series formula higher-order derivatives not present method. Th...

A systematic derivation is presented of the twist–2 anomalous dimensions of the general quark and gluon light–ray operators in the generalized Bjorken region in leading order both for unpolarized and polarized scattering. Various representations of the anomalous dimensions are derived in the non–local and local light cone expansion and their properties are discussed in detail. Evolution equatio...

The present paper deals with the modeling and numerical approximation of bed load transport under action water. A new shallow water type model is derived from stratified two-fluid Navier–Stokes equations. Its novelty lies in magnitude a viscosity term that leads to momentum equation elliptic type. full model, sediment water, verifies dissipative energy balance for smooth solutions. resolution l...