Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since
then, these classical artinian rings have continued to fascinate ring theorists with their …

In this paper, we study rings with the property that every cyclic module is almost-injective
(CAI). It is shown that R is an Artinian serial ring with J (R)^ 2= 0 J (R) 2= 0 if and only if R is …

We study the rings R for which every R-module is almost injective. For such a ring R, it is
shown that R/Soc (RR) is semisimple and Rad (R) is finitely generated. It is proved that …

We characterize right Noetherian rings over which all simple modules are almost injective. It
is proved that R is such a ring, if and only if, the complements of semisimple submodules of …

Almost Projective and Almost Injective Modules Page 1 ISSN 0001-4346, Mathematical
Notes, 2018, Vol. 103, No. 1, pp. 3–17. © Pleiades Publishing, Ltd., 2018. Original Russian …

Almost N-projective modules and generalized N-projective modules play an important role
in the study of lifting modules and artinian rings. In this paper, we study a relationship …

This is a brief survey on almost injectivity that has been studied mostly by Harada, and his
collaborators. Baba introduced this concept as a dual to the concept of almost projectivity. In …

Let R be ring. A right/^-module M is said to be small, if M is small in some right/^-module
containing M. Clearly, any right^-module containing a non-zero injective module is not small …

A. Tozaki and the author defined almost relative projective modules in [5], and the author
has given a new concept of almost projective modules in [6]. On the other hand, we know …

Почти проективные и почти инъективные модули Page 1 Математические заметки Том
103 выпуск 1 январь 2018 УДК 512.552 Почти проективные и почти инъективные модули …