TOI-1695 is a V-mag=13 M-dwarf star from the northern hemisphere at 45$\,$pc Sun, around which 3.134-day periodic transit signal super-Earth candidate was identified in TESS photometry. With depth of 1.3$\,$mmag, radius TOI-1695.01 estimated by pipeline to be 1.82$\,$R$_\oplus$ with an equilibrium temperature $\sim 620\,$K. We successfully detect reflex motion and establish it due planetary com...

The planets within compact multi-planet systems tend to have similar sizes, masses, and orbital period ratios, like "peas in a pod". This pattern was detected when considering with radii between 1 4 $R_\oplus$. However, these same show bimodal radius distribution, few 1.5 2 $R_{\oplus}$. smaller "super-Earths" are consistent being stripped rocky cores, while the larger "sub-Neptunes" likely gas...

Let $mathcal{A}$ be a Banach algebra and $X$ be a Banach $mathcal{A}-$bimodule. We study the notion of approximate $n-$ideal amenability for module extension Banach algebras $mathcal{A}oplus X$. First, we describe the structure of ideals of this kind of algebras and we present the necessary and sufficient conditions for a module extension Banach algebra to be approximately n-ideally amenable.

For more than two years, we monitored with the HARPS-N spectrograph 400 Myr-old star HD\,63433, which hosts close-in (orbital periods $P_b\sim7.1$ and $P_c\sim20.5$ days) sub-Neptunes detected by TESS space telescope, it was announced in 2020. Using radial velocities additional photometry, aim to provide first measurement of their masses, improve measure size orbital parameters, study evolution...

In the age of JWST, temperate terrestrial exoplanets transiting nearby late-type M dwarfs provide unique opportunities for characterising their atmospheres, as well searching biosignature gases. We report here discovery and validation two super-Earths LP 890-9 (TOI-4306, SPECULOOS-2), a relatively low-activity (32 pc) M6V star. The inner planet, 890-9b, was first detected by TESS (and identifie...

We present the discovery of Kepler-129 d ($P_{d}=7.2^{+0.4}_{-0.3}$ yr, $m\sin i_{d}=8.3^{+1.1}_{-0.7}\ \rm M_{Jup}$, $ e_{d}=0.15^{+0.07}_{-0.05} $) based on six years radial velocity (RV) observations from Keck/HIRES. also hosts two transiting sub-Neptunes: b ($P_{b}=15.79$ days, $r_{b}=2.40\pm{0.04}\ \rm{R_{\oplus}}$) and c ($P_{c}=82.20$ $r_{c}=2.52\pm{0.07}\ for which we measure masses $m_...

We report on the discovery and validation of a two-planet system around bright (V = 8.85 mag) early G dwarf (1.43 $R_{\odot}$, 1.15 $M_{\odot}$, TOI 2319) using data from NASA's Transiting Exoplanet Survey Satellite (TESS). Three transit events two planets were detected by citizen scientists in month-long TESS light curve (sector 25), as part Planet Hunters project. Modelling transits yields an...

Lifting modules and their various generalizations as some main concepts in module theory have been studied and investigated extensively in recent decades. Some authors tried to present some homological aspects of lifting modules and -supplemented modules. In this work, we shall present a homological approach to -supplemented modules via fully invariant submodules. Lifting modules and H-suppleme...