We discuss the prospects of probing $L_\mu - L_\tau$ gauge boson at MUonE experiment. The $Z^\prime$ with a mass $\lesssim 200$ MeV, which can explain discrepancy between measured value muon $g-2$ and calculated in Standard Model, be produced experiment through process $\mu e \to \mu Z^\prime$. final state decays into pair neutrinos, therefore we cannot observe decay directly. It is, however, s...

The submodules with the property of the title ( a submodule $N$ of an $R$-module $M$ is called strongly dense in $M$, denoted by $Nleq_{sd}M$, if for any index set $I$, $prod _{I}Nleq_{d}prod _{I}M$) are introduced and fully investigated. It is shown that for each submodule $N$ of $M$ there exists the smallest subset $D'subseteq M$ such that $N+D'$ is a strongly dense submodule of $M$ and $D'bi...

Throughout this paper, every groups are finite. The prime graph of a group $G$ is denoted by $Gamma(G)$. Also $G$ is called recognizable by prime graph if for every finite group $H$ with $Gamma(H) = Gamma(G)$, we conclude that $Gcong H$. Until now, it is proved that if $k$ is an odd number and $p$ is an odd prime number, then $PGL(2,p^k)$ is recognizable by prime graph. So if $k$ is even, the r...

in this paper, we introduce the dual notion of strongly top modules and study some of the basic properties of this class of modules.

Throughout this paper G is a finite group and S is a subgroup of G. When S is contained in the subgroup H of G, we say S is strongly closed in H with respect to G if whenever s ∈ S and g ∈ G are such that s ∈ H, then s ∈ S. In other words, every G-conjugacy class of elements of S intersected with H is contained in S. In the case where S is a p-group for some prime p we say that S is strongly cl...

We study the spatially resolved physical properties of Cosmic Snake arc in MACS J1206.2-0847 and Abell 0521 (A521). These are two strongly lensed galaxies at redshifts $z=1.036$ $z=1.044$. used observations Hubble Space Telescope (HST) Atacama Large Millimeter/submillimeter Array (ALMA). The former gives access to star formation rate (SFR) stellar mass ($M_\star$), latter H$_2$ molecular gas ($...

in this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. we characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.

This article concerns commutative factor rings for ideals contained in the center. A ring $R$ is called CIFC if $R/I$ some proper ideal $I$ of with $I\subseteq Z(R)$, where $Z(R)$ center $R$. We prove that (i) a $R$, $W(R)$ contains all nilpotent elements (hence Köthe's conjecture holds $R$) and $R/W(R)$ reduced ring; (ii) strongly bounded $R/N_*(R)$ $0\neq N_*(R)\subseteq (resp., $N_*(R)$) Wed...