The notions of Galois and cleft extensions are generalized for coquasi-Hopf algebras. It is shown that such an extension over a coquasi-Hopf algebra is cleft if and only if it is Galois and has the normal basis property. A Schneider type theorem ([33]) is proven for coquasi-Hopf algebras with bijective antipode. As an application, we generalize Schauenburg’s bialgebroid construction for coquasi...

in this paper, we extend the construction of a fuzzy subgroup generated by a fuzzy subset to $l$-setting. this construction is illustrated by an example. we also prove that for an $l$-subset of a group, the subgroup generated by its level subset is the level subset of the subgroup generated by that $l$-subset provided the given $l$-subset possesses sup-property.

aridity and drought are two inevitable occurrences of the climate change in the region. so, any kinds of planning and futurism, without regard to them, lead to failure. climate change cause drought phenomenon. the anomalies and irregularities in the precipitation mainly cause drought. fars province, one of the important centers of agriculture, population and industry in the country, with specif...

‎let $r$ be a ring with involution $*$‎. ‎an additive mapping $t:rto r$ is called a left(respectively right) centralizer if $t(xy)=t(x)y$ (respectively $t(xy)=xt(y)$) for all $x,yin r$‎. ‎the purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.

a group is called morphic if for each normal endomorphism α in end(g),there exists β such that ker(α)= gβ and gα= ker(β). in this paper, we consider the case that there exist normal endomorphisms β and γ such that ker(α)= gβ and gα = ker(γ). we call g quasi-morphic, if this happens for any normal endomorphism α in end(g). we get the following results: g is quasi-morphic if and only if, for any ...

turkmen horse is one of the oldest and purest breeds in the world, but there is no information on doppler echocardiographic parameters in this horse. in the present study, pulsed-wave (pw) doppler echocardiography was performed on 42 clinically normal 3- to 15-year-old racing turkmen horses. no cardiac disease was detected with two-dimensional (2-d) real-time, m-mode, and colour flow mapping. d...

absence of the sternum or asterniais the rarest developmental anomaly of the stern um. a female newborn is presented with asternia and asd.

background recently, assessment of the atrial motion and deformation indices obtained via doppler myocardial imaging (dmi) has been proposed as a new method of exploring the atrial function. objective our aim was to assess the right atrial (ra) regional function using myocardial velocities, strain, and strain rate imaging (sri) and compare it with the function of the inter-atrial septum (ias) a...

background: paget's disease is a focal bone disorder manifested as bone overgrowth and disrupted bone integrity as a result of accelerated bone remodelling rate. rarely, paget's disease of the base of the skull results in hydrocephalic dementia, and the triad of normal pressure hydrocephalus syndrome is a much more scarce entity. case report: herein, we report an elderly woman who presented in ...