In this paper, the structure of e-local modules and classes of modules via essentially small
are investigated. We show that the following conditions are equivalent for a module M:(1) M …

Let R be a commutative ring. It is shown that if an R-module M is a sum of δ-local
submodules and a semisimple projective submodule, then every finitely generated …

The first part of this paper investigates the structure of δ-local modules. We prove that the
following statements are equivalent for a module M:(i) M is δ-local;(ii) M is a coatomic …

In [9], the author extends the definition of lifting and supplemented modules to?-lifting and?-
supplemented by replacing" small submodule" with"?-small submodule" introduced by Zhou …

δss-supplemented modules and rings Page 1 DOI: 10.2478/auom-2020-0041 An. St. Univ.
Ovidius Constanta Vol. 28(3),2020, 193–216 δss-supplemented modules and rings Burcu …

Let R be a ring and M be a left R-module. In this paper, we define modules with the
properties (δ-E) and (δ-EE), which are generalized version of Zoschinger's modules with the …

Let I be an ideal of a ring R and let M be a left R-module. A submodule L of M is said to be δ-
small in M provided M≠L+X for any proper submodule X of M with M/X singular. An R …

ABSTRACT A submodule N of a module M is δ-small in M if N+ X≠ M for any proper
submodule X of M with M∕ X singular. A projective δ-cover of a module M is a projective …

We investigate the structure of rings over which every finitely generated δ-supplemented
module is supplemented. Some characterizations of this type of rings are given. We …

In this paper, we define weakly δss-supplemented modules and give a characterization for
them named with δss-semilocal modules. In particular, we determine the suitable conditions …