in this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. next, we investigate some properties of such rings. we prove that mn(r) is n-f-clean for any n-f-clean ring r. we also, get a condition under which the denitions of n-cleanness and n-f-cleanness are equivalent.

a topoframe, denoted by $l_{ tau}$,  is a pair $(l, tau)$ consisting of a frame $l$ and a subframe $ tau $ all of whose elements are complementary elements in$l$. in this paper, we define and study the notions of a$tau $-real-continuous function on a frame $l$ and the set of realcontinuous functions $mathcal{r}l_tau $ as an $f$-ring.we show that $mathcal{r}l_{ tau}$is actually a generalization ...

for a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. this class of rings includes the right principally quasi-baer rings and hence all prime rings. a certain n-generalized principally quasi-baer subring of the matrix ring are studied, and connections...

It is proved that localizations of injective R-modules of finite Goldie dimension are injective if R is an arithmetical ring satisfying the following condition: for every maximal ideal P , RP is either coherent or not semicoherent. If, in addition, each finitely generated R-module has finite Goldie dimension, then localizations of finitely injective R-modules are finitely injective too. Moreove...

We study an entangled two-mode coherent state within the framework of2×2-dimensional Hilbert space. We investigate the problem of quantum teleportation ofa superposition coherent state via an entangled coherent channel. By three differentmeasures with the titles ``minimum assured fidelity (MASF)”, ``average teleportationfidelity” and ``optimal fidelity (f)” we study the ...

A phase detection circuit was developed to observe a synchrotron oscillation of the beam turn-by-turn at the Photon Factory Storage Ring (PF ring). A phase deviation from RF frequency was measured using the circuit connected to one of the button-type electrodes of the beam position monitor (BPM). A momentum deviation of the beam was simultaneously measured using a transverse beam position circu...

Recently a mechanism of storage ring operation based on the steady-state microbunching has been proposed and investigated, which contains laser cavity modulator providing longitudinal focusing for circulating microbunches. In this paper we analyze impact coherent undulator radiation single-bunch multi-turn collective dynamics, exploring new possible instability mechanism. We formulate equations...

— We denote by W (C+) the set of all complex-valued functions defined in the closed right half plane C+ := {s ∈ C | Re(s) ≥ 0} that differ from the Laplace transform of functions from L(0,∞) by a constant. Equipped with pointwise operations, W (C+) forms a ring. It is known that W (C+) is a pre-Bézout ring. The following properties are shown for W (C+): W (C+) is not a GCD domain, that is, ther...