… Regarding applications, some new characterizations of left n-semihereditary rings and von
Neumann regular rings are obtained. Throughout this article, R is an associative ring with …

… 3.2, in order to prove the only-if part, we have to prove that f-projectivity implies coherence
for any module … is right semihereditary, iff all finitely generated submodules of projective …

… In addition, we introduce M-coherent modules and provide a … of these modules which extend
those for right semi-hereditary … A module M is said to be N-Rickart (or relatively Rickart to N) …

… finitely presented left R-module is 2-presented; a ring R is left semihereditary if every
finitely … R-module is projective. FP-injective modules, flat modules, coherent rings, semihereditary …

… We describe left FC rings, left semihereditary rings and left coherent rings with the weak …
of modules. Throughout this paper, all rings are associative with identity and all modules are …

… In this article, we continues to study left C-coherent rings, left strongly C-coherent rings
and left C-semihereditary rings. Series characterizations and properties of these rings will be …

… A module M is called subinjective relative to a module N if for … In contrast to indigent modules,
such pure injective modules … -sided coherent then it is either two-sided semihereditary or a …

… -coherent rings and C-semihereditary … semihereditary rings are obtained. Furthermore,
we define C-cotorsion dimensions of modules and rings, we show that over a strongly C-coherent …

… and it includes coherent rings, perfect rings, semi-hereditary rings and … modules as do
coherent rings with respect to flat modules. In particular, it is proven that a ring R is Ffp 1 -coherent …

… Some recent works on module theory have focused on relative … Over a left P-coherent ring,
R is left divisible if and only if … A Prüfer domain is exactly a semihereditary integral domain. …