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...

Stormwater runoff is an issue that increasingly affecting urban areas because previously were permeable have been developed, and are now impermeable, comprising hard surface areas, whether concrete floors, roads, or buildings. As the size of problem area increases, amount stormwater needs to be cleared from it takes longer for cleared. The existing basic public drainage systems can no sufficien...

The vertical change in the number of macropores causes a variation relative macroporosity (wf) and effective aggregate width (dag) over soil profile. Both parameters are used HYDRUS to represent this variation, increasing making automated calibration challenging. working hypothesis is that we can improve an analytical estimation wf dag developed previous research by inverse with meta-model for ...

Abstrak . Laju infiltrasi adalah kecepatan masuknya air ke dalam tanah dan tergantung pada kondisi tanah. Perkebunan kopi robusta tentunya memiliki beberapa tingkatan umur tanaman yaitu dari muda sampai dewasa. Akar yang matang mempengaruhi pori-pori di Keberadaan akar tidak hanya meningkatkan aktivitas mikroorganisme, tetapi juga semakin besar sehingga peluang besar. Penelitian ini mengkaji la...

we introduce center-like subsets z*(r,f), z**(r,f) and z1(r,f), where r is a ring and f is a map from r to r. for f a derivation or a non-identity epimorphism and r a suitably-chosen prime or semiprime ring, we prove that these sets coincide with the center of r.