In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions  for a weighted Lebesgue space  $L^p(K,w)$ to be a convolution Banach algebra, where $1<p<infty$, $K$ is a locally compact hypergroup and $w$ is a weight function on $K$.  Among the other things, we also show that if $K$ is a locally compact hyper...

let $r$ be an associative ring and let $m$ be a left $r$-module.let $spec_{r}(m)$ be the collection of all prime submodules of $m$ (equipped with classical zariski topology). there is a conjecture which says that every irreducible closed subset of $spec_{r}(m)$ has a generic point. in this article we give an affirmative answer to this conjecture and show that if $m$ has a noetherian spectrum, t...

We determine generators for the codimension 1 Chow group of the moduli spaces of genus zero stable maps to flag varieties G/P . In the case of SL flags, we find all relations between our generators, showing that they essentially come from M0,n. In addition, we analyze the codimension 2 classes on the moduli spaces of stable maps to Grassmannians and prove a new codimension 2 relation. This will...

introduction the eustachian valve (ev) remnant, when present in adults, is usually rudimentary. however, in echocardiographic examinations, it may appear as a mobile long structure in the right atrium, and it rarely protrudes into the right ventricle. when it is quite large, the ev remnant could be misdiagnosed as a right atrial tumor, thrombus, or vegetation. case presentation an 83-year-old p...

amara in jurisprudential sources is said to any evidence which indicate the fact. indication is not definitively in the sight of foghaha and osooliyeen, but due to the prevailing conjecture which can be achieved from that evidence. witnesses’ testimony (bayyinah) as valid evidence in the jurisprudence and law is known as an “amara” in the sight of jurists witch its validity is from legislator. ...