… free on the basis given by the classes of simple A-modules. Recall that the radical of the
Grothendieck … Moreover, for each coherent sheaf E we get in view of the injectivity of /C that …

… modules of algebras that are self-injective are characterized by the property that the class of
projective-injective modules … As an illustration, we give a simple example of an application of …

… , flat modules, cotorsion modules, absolutely pure modules and pure-injective modules arose
from … We characterize the rings whose simple right R-modules are MF-projective. We also …

… In Section 2, we prove the central simple criterion showing how to produce an injective metric
space or a Helly graph starting from a lattice with an action of Z or R. In Section 3, we apply …

… Then S1 and S2 are simple right R-modules and are nonisomorphic. It is easy to see that …
We know that the injective hull E(M) of a K-nonsingular module M is Rickart. As M ⊆ E(M), E(M) …

… finitely presented module P. FP-injective modules act in ways similar to injective modules, …
A chain map or simply map \(f:X\rightarrow Y\) of N-complexes is a collection of morphisms \(…

… We show when a subdirect product of simple modules is … M = HomR(M,E(M))M be the trace
of M into its injective hull E(… M is a quasi-injective module and it is an essential extension …

… to a class of modules called pure-injective modules, as well as … In particular, we will focus
on modules over a K-algebra A, … is typical of semi-simple rings (in fact, K is even a simple ring); …

… left and right modules; we get lAD-lev(R) = rAD-lev(R), which we simply denote by AD-lev(R)…
Since W is thick and contains all injective modules (Corollary 4.4) we conclude that (W,W⊥) …

… simple right (left) modules are PS-injective. Further, we obtain a characterization of PS-injective
group … If \(R_R\) is an APS-injective module, then we call R a right APS-injective ring [12]. …