In this paper‎, ‎we study the class of rings in which every $P$-flat‎ ‎ideal is flat and which will be called $PFF$-rings‎. ‎In particular‎, ‎Von Neumann regular rings‎, ‎hereditary rings‎, ‎semi-hereditary ring‎, ‎PID and arithmetical rings are examples of $PFF$-rings‎. ‎In the context domain‎, ‎this notion coincide with‎ ‎Pr"{u}fer domain‎. ‎We provide necessary and sufficient conditions for‎...

The paper is devoted to generic translation flows corresponding Abelian differentials on flat surfaces of arbitrary genus g≥2. These are weakly mixing by the Avila-Forni theorem. In 2, Hölder property for spectral measures these was established in [12, 14]. Recently, Forni [18], motivated [12], obtained estimates case genus. Here we combine Forni’s idea with symbolic approach [12] and prove reg...

primary-like and weakly primary-like submodules are two new generalizations of primary ideals from rings to modules. in fact, the class of primary-like submodules of a module lie between primary submodules and weakly primary-like submodules properly.  in this note, we show that these three classes coincide when their elements are submodules of a multiplication module and satisfy the primeful pr...

In this paper, we will study the asymptotic geometry of 4-dimensional steady gradient Ricci solitons under condition that they dimension reduce to 3-manifolds. We show such either strongly a spherical space form S3/Γ or weakly 3-dimensional Bryant soliton. also soliton singularity models with nonnegative curvature outside compact set are Ricci-flat ALE 4-manifolds manifolds. As further applicat...

In this paper we prove existence the common fixed point with different conditions for $alpha-psi$-contractive mappings. And generalize weakly Zamfirescu map in to modified weakly Zamfirescu map.

Linear stability of an incompressible triple-deck flow over a wall roughness is considered for disturbances of high frequency. The wall roughness consists of two relatively short obstacles placed far apart on an otherwise flat surface. It is shown that the flow is unstable to feedback or global mode disturbances. The feedback loop is formed by algebraically decaying disturbances propagating ups...

In the context of the natural splitting, the standard relative dynamics can be expressed in terms of gravito-electromagnetic fields, which allow to formally introduce a gravito-magnetic Aharonov-Bohm effect. We showed elsewhere that this formal analogy can be used to derive the Sagnac effect in flat space-time as a gravito-magnetic AharonovBohm effect. Here, we generalize those results to study...

This paper proposes a new method for automatically detecting disfluencies in spontaneous speech – specifically, selfcorrections – that explicitly models repetitions vs. other disfluencies. We show that, in a corpus of Supreme Court oral arguments, repetition disfluencies can be longer and more stutterlike than the short repetitions observed in the Switchboard corpus and suggest that they can be...