In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras. In the present paper we extend this result to semiprime associative superalgebras.

In this talk we introduce the notion of a generalized representation of a Jordan algebra with unit which has the following properties: 1) Usual representations and Jacobson representations correspond to special cases of generalized representations. 2) Every simple Jordan algebra has infinitely many nonequivalent generalized representations. 3) There is a one-to-one correspondence between irredu...

BACKGROUND The Baqa'a refugee camp is the largest in Jordan, home to some 104,000 Palestine refugees. Barriers to accessing and consuming mental health services in Arab-refugees are well documented in the literature however few studies have been conducted hitherto to identify barriers for Palestine refugees with psychological problems residing in refugee camps in Jordan. AIM To identify the b...

We introduced a new nonassociative algebra, namely, left almost algebra, and discussed some of its genetic properties. We discussed the relation of this algebra with flexible algebra, Jordan algebra, and generalized Jordan algebra.

Many authors have studied the local dynamics of holomorphic maps in C around a fixed point; see, for example, [4; 6] for an introduction to this field and known results. Most of the results are obtained under the assumption that the linear part of the map at the fixed point is diagonalizable. There are few results in the nondiagonalizable case. In [8], Coman and Dabija studied a special map wit...

An external magnetic field induces large relative changes in the entropy of one-dimensional quantum spin systems at finite temperatures. This leads to a magnetocaloric effect, i.e. a change in temperature during an adiabatic (de)magnetization process. Several examples of one-dimensional spin-1/2 models are studied by employing the Jordan-Wigner transformation and exact diagonalization. During a...

Our work is focused on the study of the solar radiation received on three inclined surface: 32°, 60° and 90° facing south. So, we proposed two theoretical models: Brichambaut and Liu Jordan models. Brichambaut model takes into account two input parameters (local time, day number), Liu & Jordan takes into account the measures of the solar irradiance (diffuse and global radiations received on hor...

Background: Varicella-zoster infection is a serious and potentially fatal disease, especially among newborns.Several studies have described postnatal varicella zoster exposure among neonates and reported on the efficacy of varicella-zoster immunoglobulins (VZIG) used as post-exposure prophylaxis. Unfortunately, VZIG is not available in Jordan. A limited number of studies have investigated the e...

In this paper, we establish the generalized Hyers-Ulam stability of Jordan homomorphisms and Jordan derivations between ternary algebras via the generalized Jensen equation rf( sx+ty r ) = sf(x) + tf(y).

Pre-Jordan algebras were introduced recently in analogy with preLie algebras. A pre-Jordan algebra is a vector space A with a bilinear multiplication x · y such that the product x ◦ y = x · y + y · x endows A with the structure of a Jordan algebra, and the left multiplications L·(x) : y 7→ x · y define a representation of this Jordan algebra on A. Equivalently, x ·y satisfies these multilinear ...