… It is shown that S is left coherent relative to A if and only if … It is shown that S is left coherent
relative to A if and only if … characterizations of left n-semihereditary rings and von Neumann …

… modules, with a primary emphasis on the class of flat relative Mittag-Leffler modules, Zariski
locality of quasi-coherent … how the category of quasi-coherent sheaves over a given scheme …

… being both nonnil-coherent and self-nonnil semi-injective. Furthermore, we extend the notion
of semihereditary rings to \(\phi \)-rings, coining the term ‘nonnil-semihereditary’ to describe …

… R-module M is a right (m, n)-coherent ring if and only if every M-(m, n)-copresented right
Rmodule … It is also proven that S is a right n-semihereditary ring and SM is (m, n)-flat if and only if …

… In particular, R is a Prüfer domain (ie, a semihereditary domain) if and only if R is a coherent
… It is also well known that semihereditary rings are Prüfer rings. Hence, coherent regular DW …

… 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 …

… 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. …

… obtained that if R is a semiperfect right FGF ring (or left coherent ring), then every isosimple
right R-module has a projective cover. Moreover, we also characterize semihereditary serial …

… w-coherent if and only if every direct product of flat modules is w-flat. To do this, we introduce
the class w ‐ F ‐ ML of all w-Mittag-Leffler modules with respect to all flat modules … relatively …

… two new concepts relative to RD-injective modules. Therefore, it … -modules are flat if and
only if divisible left R-modules are fp-injective [11, Theorem 6.2]. A ring R is left semihereditary if …