The category of morphisms of R-modules is an expansion of the category of R-modules.
Using some special morphisms of modules such as phantom, Ext-phantom, flat and …

Let ℒ be a class of right R-modules. The notions of ℒ-injectivity and ℒ-flatness are used to
investigate right ℒ-Noetherian rings, right ℒ-hereditary rings, and right ℒ-coherent rings. For …

It is proved that any submodule of the direct sum of a family of finitely generated right
modules over a serial, right Noetherian ring is also a direct sum of finitely generated …

The category of complexes of left R-modules has much in common with the category of left R-
modules--many results true of modules are also true of complexes. One such result is the …

Essential Extensions of a Direct Sum of Simple Modules-II Page 1 Modules and Comodules
Trends in Mathematics, 243–246 c© 2008 Birkhäuser Verlag Basel/Switzerland Essential …

For a ring A, an extension ring B, a fixed right A-module M, the endomorphism ring D formed
by M, the endomorphism ring E formed by AMB⊗, and the endomorphism ring F formed by …

ON N-COHERENT RINGS, N-HEREDITARY RINGS AND N-REGULAR RINGS Page 1 Archive
of SID Bulletin of the Iranian Mathematical Society Vol. 37 No. 4 (2011), pp 251-267. ON …

We study the notions of n-hereditary rings and its connection to the classes of finitely n-
presented modules, FP n-injective modules, FP n-flat modules and n-coherent rings. We …

P. VAMOS [11] has defned and studied'finitely embedded modules' as the dual of'finitely
generated modules'. JANS [4] called them as co finitely generated modules and defined a …

The main purpose of this thesis is to study some classes of modules determined by neat,
coneat and s-pure submodules. A right R-module M is called neat-flat (resp. coneat-flat) if …