… criterion which characterizes injectivity of modules fails to do this for near-ring modules, as
… of a unitary near-ring N such that not every unitary iV-module has an injective extension, but …

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

… as the near-ring modules over the integers, is an example where there exist no non-trivial
injective or strictly projective modules. In this paper we define alternate forms of "injectivity" …

… a regular near-ring module by extending the usual elementwise definition of a regular
near-ring to arbitrary near-ring modules. … We shall say that R is self P -injective if RR is P-injcctive. …

… (A) An N-module M over a dg near-ring is injective if and only if for each right ideal u of N …
near-ring generated by {1}. To indicate that we are doing this we write (Z, 1) for the dg near-ring …

… module V and the near-ring MR(V). In [2] J. Hausen and JA Johnson classified torsion-free
modules … In the remainder of the paper, we will denote the injective hull of any R-module V by …

… 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 …

… module structures over a matrix near-ring. In lemma 2.1 we will see how to define a module
over a matrix near-ring if a "well-behaved" module … This shows that r is injective and it is now …

… of quasi-injective modules and their endomorphism rings to near-ring groups. We attempt
to derive the near-ring character of the set of endomorphism of quasi-injective N-groups under …

… sub-modules reveals the kind of regularity a module will have. Lastly, we study left-morphic
near-ring elements … An R-module E is called an injective cogenerator of Mod-R if E is both an …