A Noetherian regular δ-near-ring N is called an IFP Noetherian regular δ-near-ring provided
that for all a, b, n Є N, ab= 0 implies anb= 0. In this observation, the IFP (Insertion Factors …

اﻟﻘرﯾﺑﺔ ﺣﻟﻘﺔ ﻓﻲ اﻟ اﻟﻣﺛﺎﻟﯾﺔ اﻻﺑﺗداﺋﯾﺔ واﻟﻣﺛﺎﻟﯾﺔ ﺷﺑ Page 1 Journal of Kerbala University , Vol. 14 No.2
Scientific . 2016 361 On Primary Ideal and Semi Primary Ideal of a Near Ring ﺔﯾﺋادﺗﺑﻻا ﮫﺑﺷ …‎

It is well-known that a ring R is right Noetherian if and only if every direct sum of injective
right R-modules is injective. In this paper, we characterize Nonnil-Noetherian rings by …

We study these rings with every minimal left ideal being a projective, direct summand and ap–
injective module, respectively. Some characterizations of these rings are given, and the …

Left duo seminear-rings Page 121 Scientia Magna Vol. 8 (2012), No. 3, 115-120 Left Duo
Seminear-rings R. Balakrishnan† and R. Perumal‡ † Department of Mathematics, VO …

Let R be a commutative ring with a nonzero identity. A proper ideal I of R is said to be a 1-
absorbing prime ideal if xyz∈ I for some nonunits x, y, z∈ R, then xy∈ I or z∈ I. It is well …

We study the class of almost uniserial rings as a straightforward common generalization of
left uniserial rings and left principal ideal domains. A ring R is called almost left uniserial if …

Herstein and Small have shown (1) that nil rings which satisfy certain chain conditions are
nilpotent. In particular, this is true for nil (left) Goldie rings. The result obtained here is a …

D (x+ y)= D (x)+ D (y) and D (xy)= D (x) y+ xD (y) for all elements x and y in R. A ring having
no non-zero derivations will be called here differentially trivial ([1]). Every differentially trivial …