We report the discovery and validation of four extrasolar planets hosted by nearby, bright, Sun-like (G3V) star HD~108236 using data from Transiting Exoplanet Survey Satellite (TESS). present transit photometry, reconnaissance precise Doppler spectroscopy as well high-resolution imaging, to validate planetary nature objects transiting HD~108236, also known TESS Object Interest (TOI) 1233. The i...

We report the discovery of two exoplanets orbiting around HD 212729 (TOI\,1052, TIC 317060587), a $T_{\rm eff}=6146$K star with V=9.51 observed by TESS in Sectors 1 and 13. One exoplanet, TOI-1052b, is Neptune-mass transits star, an additional planet TOI-1052c radial velocities but not seen to transit. confirm planetary nature TOI-1052b using precise velocity observations from HARPS determined ...

in this paper, we extend some propositions of banachalgebras into module actions and establish the relationships betweentopological centers of module actions. we introduce some newconcepts as                         -property and -property for banach modules and obtain some conclusions inthe topological center of module actions and arens regularity of banachalgebras.

in this paper, we  study the arens regularity properties of module actions. we investigate some properties of topological centers of module actions ${z}^ell_{b^{**}}(a^{**})$ and  ${z}^ell_{a^{**}}(b^{**})$ with some conclusions in group algebras.

We report the detection of a gas-giant planet in orbit around both stars an eclipsing binary star system that also contains smaller, inner transiting TOI-1338b. The new planet, called TOI-1338/BEBOP-1c, was discovered using radial-velocity data collected with HARPS and ESPRESSO spectrographs. Our analysis reveals it is $65.2~\rm{M_{\oplus}}$ circumbinary period $215.5~$days. This first observat...

In this paper, we study the root distributions of Ehrhart polynomials free sums certain reflexive polytopes. We investigate cases where roots $A_d^\vee$'s or $A_d$'s lie on canonical line $\mathrm{Re}(z)=-\frac{1}{2}$ complex plane $\mathbb{C}$, $A_d$ denotes polytope type A dimension $d$ and $A_d^\vee$ its polar dual. For example, it is proved that $A_m^\vee \oplus A_n^\vee$ with $\min\{m,n\} ...

In this paper we study the relation between module amenability of $theta$-Lau product $A×_theta B$ and that of Banach algebras $A, B$. We also discuss module biprojectivity of $A×theta B$. As a consequent we will see that for an inverse semigroup $S$, $l^1(S)×_theta l^1(S)$ is module amenable if and only if $S$ is amenable.

Abstract An outbreak of SARS-CoV2 infection in a Barcelona prison was studied. One hundred and forty-eight inmates 36 staff were evaluated by rt-PCR, 24.1% (40 prisoners, two health workers four non-health workers) tested positive. In all, 94.8% cases asymptomatic. The isolated module 4, which converted into an emergency COVID unit. There no deaths. Generalised screening the isolation evaluatio...

As an all-sky survey, NASA's $TESS$ mission is able to detect the brightest and rarest types of transiting planetary systems, including young planets that enable study evolutionary processes occur within first billion years. Here, we report discovery a young, multi-planet system orbiting bright K4.5V star, TOI-712 ($V = 10.838$, $M_\star 0.733_{-0.025}^{+0.026} M_\odot$, $R_\star 0.674\pm0.016 ...