In this paper, we study a module which is lifting and supplemented relative to a module
class. Let R be a ring, and let X be a class of R-modules. We will define X-lifting modules …

Coextending Modules 1 Introduction Page 1 International Mathematical Forum, Vol. 9, 2014, no.
13, 579 - 592 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/imf.2014.4236 …

Endo-permutation modules arise in a number of ways in the representation theory of® nite
groups, in particular in connection with equivalences between blocks and as sources of …

We introduce and study the notion of w-Rickart modules (ie modules M such that for every
nonzero endomorphism phi of M, the kernel of phi is contained in a proper direct summand …

Motivated by 2 and 6, we introduce a generalization of extending (CS) modules by using the
concept of τ-large submodule which was defined in 9. We give some properties of this class …

Hereditary rings have been extensively investigated in the literature after Kaplansky
introduced them in the earliest 50's. In this paper, we study the notion of a Σ-Rickart module …

New Characterization of σ-Injective Modules Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 136, Number 10, October 2008, Pages 3461-3466 S …

In this article, we focus on modules M such that every homomorphism from a projection
invariant submodule of M to M can be lifted to M. Although such modules share some of the …

Let be a nonempty subset of the set of submodules of a module M. Then M is called a-
extending module if for each X in there exists a direct summand D of M such that X is …

Let R be a ring. A collection of R-modules containing the zero module and closed under
isomorphisms will be denoted by X. An R-module M is said to be X-lifting if for every X …