On rings with cyclic almost-injective modules cyclic right R-
module is almost injective, if and only if R/J(R) is
a right SV-ring with Loewy(RR) ≤ 2
I* 0-Modules semiregular rings over which every
module is at the same time I*0 -
module and I 0-
module. We give
a Modules in Which Sums or Intersections of Two Direct Summands Are Direct Summands. odules, SIP-
modules, D
3-
modules, and
C3-
modules. These characterizations are used for the proof of new
Generalized SV-modules(P) is weakly regular if and only if every
module in σ(M/I(M)) is lifting, where M is
a generating object in σ
Retractable and Coretractable Modules. It is proved that for
a module M of finite length, the following conditions are equivalent. (1) In the category
Retractable and Coretractable Modules. It is proved that for
a module M of finite length, the following conditions are equivalent. (1) In the category
Retractable and Coretractable ModulesRetractable and Coretractable
Modules CS-Rickart modules-Rickart
modules, that is
a module analogue of the concept of ACS rings.
A ring R is called
a right weakly
On some classes of semiartinian ringsThe weakly regularity of all right R-
modules with R an arbitrary ring does not imply the same