Modules which are self-p-injective relative to projection invariant submodules


Kara Y., TERCAN A.

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, vol.25, no.1, pp.117-129, 2017 (SCI-Expanded) identifier identifier

Abstract

© 2017, Ovidius University. All rights reserved.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 properties of PI -extending (i.e., every projection invariant submodule is essential in a direct summand) modules, it is shown that they form a substantially bigger class of modules.