Full article: New Characterizations of Quasi-Frobenius Rings Skip to Main Content Taylor and
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For a right module M, we prove that M is simple-injective if and only if M is min-N-injective for
every cyclic right module N. The rings whose simple-injective right modules are injective are …

A right R-module MR is called small injective if every homomorphism from a small right ideal
to MR can be extended to an R-homomorphism from RR to MR. A ring R is called right small …

Let R be a ring. A right ideal I of R is called small in R if I+ K= R for every proper right ideal K
of R. A ring R is called right small finitely injective (briefly, SF-injective)(resp., right small …

A right ideal I of a ring R is small in case for every proper right ideal K of R, K+ I ${\neq} $= R.
A right R-module M is called PS-injective if every R-homomorphism f: aR ${\rightarrow} $ M …

Let $ R $ be a ring, a right ideal $ I $ of $ R $ is called small if for every proper right ideal $ K
$ of $ R $, $ I+ K\neq R $. A ring $ R $ is called right small injective if every homomorphism …

ALMOST PRINCIPALLY SMALL INJECTIVE RINGS 1. Introduction Let R be a ring. A right ideal I
of R is called small if, for every pro Page 1 J. Korean Math. Soc. 48 (2011), No. 6, pp. 1189–1201 …

Let R be a ring, R is called a right ACS ring if the right annihilator of each element is
essential in a direct summand of R. We prove that right CF ring is right artinian under right …