Many new results were obtained in this paper about PP ring. Semi-primitive ring R with (dcc)
on principal-ideal P is always PP ring. Also, St-GP. P. ring R is given to answer new …

This paper concerns two conditions, called right pp and generalized right pp, which are
generalizations of Baer rings and von Neumann regular rings. We study the subrings and …

Throughout this paper a ring denotes a commutative ring with unity. A ring R is called a PP-
ring if for every a SR, the principal ideal af is a projective R-module. Hirano [4] defined a ring …

In this paper we study non-commutative pp rings and Baer rings in relation to their quotient
rings. First, we investigate right pp rings and their classical quotient rings. It has been shown …

A near-ring N is called an IFP near-ring provided that for all a, b, n∈ N, ab= 0 implies anb=
0. In this study, the IFP condition in a nearring is extended to the ideals in near-rings. If N/P is …

In this paper we extend Foster's Boolean-like ring to Near-rings. We introduce the concept of
a Boolean like near-ring. A near-ring N is said to be a Boolean-like near-ring if the following …

For a commutative ring with unity R, it is proved that R is a P F-ring if and only if the
annihilator, ann R (a), for each a ϵ R is a pure ideal in R, Also it is proved that the …

Throughout, R will represent a ring. Let E be the set of idempotents in R, N the set of
nilpotent elements in R, and N" the subset of N consisting of all ar with r “= 0. R is called …

In this paper, the notions of right pp rings, right CPP-rings and right CPF-rings, introduced
primarily for rings with identity, will be defined for s-unital rings. One of the purposes of this …

In this paper, we extend some results of V rings to GP-V rings and GP-V'rings. Some
characterizations of strongly regular rings are obtained. We show that (1) R is strongly …