It is shown that every finitely generated right R-module is almost injective if and only if every
cyclic right R-module is almost injective, if and only if R/J (R) is a right SV-ring with Loewy …

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 P be an R-module with a decomposition P= M 1⊕⋯⊕ M n, where each M i is a CS-
module. In [6], a necessary and sufficient condition for P to be a CS-module for the …

Abstract In [5] and [6], we have introduced a couple of relative generalized epi-projectivities
and given several properties of these projectivities. In this paper, we consider relative …

In 2004, SH Mohamed and BJ Müller defined generalized projectivity (dual ojectivity) as
follows: given modules A and B, A is generalized B-projective (B-dual ojective) if, for any …

MIXED INJECTIVE MODULES Page 1 Glasgow Math. J. 52A (2010) 111–120. C Glasgow
Mathematical Journal Trust 2010. doi:10.1017/S0017089510000182. MIXED INJECTIVE …

A module M is called N-almost-invariant for a module N if, for any homomorphism α: F→ E,
either α (N)⊆ M, or there exist nonzero direct summands F′ of F and E′ of E such that α …

A module M is said to be generalized N-projective (or N-dual ojective) if, for any
epimorphism g: N→ X and any homomorphism f: M→ X, there exist decompositions M …

Let R be a commutative ring. We investigate R-modules which can be written as finite sums
of second R-submodules (we call them second representable). The class of second …

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 …