Keigher showed that quasi-prime ideals in differential commutative rings are analogues of prime ideals in commutative rings. In that direction, he introduced and studied new types of differential rings using quasi-prime ideals of a differential ring. In the same sprit, we define and study two new types of differential rings which lead to the mirrors of the corresponding results on von Neumann r...

in this paper we introduce the notion of classical quasi-primary submodules that generalizes the concept of classical primary submodules. then, we investigate decomposition and minimal decomposition into classical quasi-primary submodules. in particular, existence and uniqueness of classical quasi-primary decompositions in finitely generated modules over noetherian rings are proved. moreover, w...

We study Ore extensions of non-unital associative rings. provide a characterization simple differential polynomial rings $R[x;\delta ]$, under the hypothesis that $R$ is $s$-unital and $\ker (\delta )$ contains non-zero idempotent. This

Let R be an arbitrary ring with identity. In this paper, we introduce quasi-reduced rings as a generalization of reduced rings and investigate their properties. The ring R is called quasi-reduced if for any a, b ∈ R, ab = 0 implies (aR) ∩ (Rb) is contained in the center of R. We prove that some results of reduced rings can be extended to quasi-reduced rings for this general settings. 2010 Mathe...

This paper presents a novel prefetching heuristic called Delta Correlating Prediction Tables (DCPT). DCPT builds upon two previously proposed techniques, RPT prefetching by Chen and Baer and PC/DC prefetching by Nesbit and Smith. It combines the storageefficient table based design of Reference Prediction Tables (RPT) with the high performance delta correlating design of PC/DC. DCPT substantiall...

The element $q$ of a ring $R$ is called quasi-idempotent if $q^2=uq$ for some central unit $u$ $R$, or equivalently $q=ue$, where and $e$ an idempotent $R$. In this paper, we define that the almost quasi-clean each sum regular element. Several properties almost-quasi clean rings are investigated. We prove every quasi-continuous nonsingular quasi-clean. Finally, it determined conditions under wh...