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...

Beeson and McCoy (2022) present several interesting methods for detecting uplift from river profiles; however, these techniques rely on conditions assumptions that are not met in the Sierra Nevada. Moreover, one of key predictions their numerical model, presence migrating knickpoints along Sierra’s trunk streams, is supported by field observations or digital elevation model (DEM) analyses.

Objective: To compare the laryngoscopic view and the hemodynamic changes by using flexitip McCoy laryngoscope with Macintosh laryngoscope. Method: Study design-Prospective randomized controlled study. A total of 220 patients were included in the study, Patients were allocated on the basis of their airway anatomy in to two groups, one is predicted easy group and the other one was predicted diffi...