… M is called a hollow module if every proper submodule N of M is small (N ≪ M), ie … -hollow
module is a generalization of hollow module, where an R-module M is called δ-hollow module …

… In this work, F-Ζ-hollow and Ζ-semihollow modules are defined as a generalization of F-…
module and F-Ζ-hollow module. Where a nonzero R-module Ε is called Ζ-semihollow module if …

… , m M Î there is a submodule A of M inside … module M is principally generalized hollow if for
each proper cyclic submodule is g-small inside M, and M is called finitely generalized hollow …

… Let W be a proper ΓR-submodule of an ΓR-module Á is called … , r R m g Î ÎÁ ÎG and rm W g
Î implies that either … Corollary(4.5) : Let W be a ΓR-submodule of a hollow ΓR-module Á and L …

… Indeed, many module-theoretic results can be proved by … book), module theoretic results
generalized in (modular, and … 20 years), very special module-theoretic results generalized in …

… module with finite hollow dimension and S = End#(M), then … (2) J(S) = A^ fl ■ • • n Ah,, for
some right hollow elements h\,...… -projective and 7r-projective module which has DCC on the …

… module is hollow(ie, every proper submodule is a small submodule). Also, we recall that a
nonzero module … hollow modules and an indecomposable ®-cofinitely supplemented rnodule. …

… If every proper submodule of M is always small in M, M is called a hollow module and we
dually call M a uniform module , provided every non-zero submodule is essential in M. If EndÄ(…

… ideal of Z4 , since Î 4 … a module Since W is s-cyclic, then W is a prime R-module , [4]. But W
is chained, so by [5] the result is follows. Recall that an R-module W is called a hollow module …

… strongly hollow and quasi hollow modules with coprime modules, V-coprime modules and
bi-hollow modules… Also, we study the relationships between strongly hollow and quasi hollow …