In this paper, we study the class of rings in which every pure ideal is projective. We refer to
rings with this property as PIP-rings. Some properties and examples of PIP-rings are given …

This paper is concerned with rings for which all modules in one of the following classes are
injective: simple modules, quasi-injective modules, or proper cyclic modules. Such rings are …

Let R be a ring and ρ a right ideal of R with zero right annihilate. Then ρ and R have the
same left Utumi quotient ring. We study the lifting properties of GPIs and some chain …

This paper studies the class of rings in which every finitely projective ideal is projective (FPP-
ring for short). We examine the transfer of this property to various context of commutative ring …

97On Rings Page 1 Raf. J. of Comp. & Math’s. , Vol. 3, No. 2, 2006 53 On Rings Whose
Principal Ideals are Pure Shaimaa H. Ahmad College of Computer sciences and Mathematics …

In this paper we introduce and investigate a class of those rings in which every finitely
generated flat ideal is projective. We establish the transfer of this notion to trivial ring …

Homological dimensions of some pirings Page 1 COMMJNICATIONS IN ALGEBRA, 8(7),
685-696 (1980) HONOLOGICAL DINENSIONS OF SOME PI RINGS. S. Jondrup. Department …

We say that a class 𝒫 of right modules over a fixed ring R is an epic class if it is closed under
homomorphic images. For an arbitrary epic class 𝒫, we define a 𝒫-dimension of modules …

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Parainjectivity, paraprojectivity and artinian principal ideal rings 1. Introduction In studying
rings and modules, lattices of Page 1 Journal of Algebra and Its Applications Vol. 18, No. 4 (2019) …