… Thus there are no non-trivial injective {l}-distributive Z-modules, either. The second example
… of a unitary near-ring N such that not every unitary iV-module has an injective extension, but …

… of groups is an example of a "dg case" with R = Z and S = {1}. Note however, that if S is
taken to be R = Z itself the (R, S)-modules are just the abelian groups. In this paper it may be …

… a left near ring and let M be a right TV-module. We recall [1] that M is called injective iff every
… to show that if TV is a dg near-ring with identity, then M is injective iff for every right ideal u of …

… as a module over the near-ring Z of integers, is Z-divisible. More generally, in the
category of groups, any group which is n-injective in the sense of Mason [2. Def. 2.5 (al] is Z-divisible. …

… define a module over a matrix near-ring if a "well-behaved" module action over the base
near-ring is … This shows that r is injective and it is now easy to verify that ~b is actually an M, (R)-…

… As well, it is not clear if there exist any injective modules (see (5)). However there are near-ring
modules that appear to play the role of injective modules in some situations. M is defined …

… the properties of the module V and the near-ring MR(V). In [2] … that 5 # 0, then z $ P", so from
[8, 4.141 (P" : z) is P-primary (… , we will denote the injective hull of any R-module V by E(V). …

… Similar to ring theory, "modules over a near-ring N" ("nearmodules" or "N-groups") will be
introduced. They play an important rôle in the theory of near-rings. This section contains the …

… of relative injectivity of modules to near-ring groups. Here E-… N as a zero symmetric right
near-ring and E as a left N-group… N-subgroups of N is distributively generated, then \(Z( N) = 0\). …

… intuitionistic fuzzy submodules on an R-module (where R is a near-ring) and quotient R-module
over an intuitionistic fuzzy submodule of an R-module. This is achieved by establishing …