Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

On rings all of whose modules are retractable

Şule EcevitMuhammet Tamer Koşan — 2009

Archivum Mathematicum

Let R be a ring. A right R -module M is said to be retractable if 𝕋 H o m R ( M , N ) 0 whenever N is a non-zero submodule of M . The goal of this article is to investigate a ring R for which every right R-module is retractable. Such a ring will be called right mod-retractable. We proved that ( 1 ) The ring i R i is right mod-retractable if and only if each R i is a right mod-retractable ring for each i , where is an arbitrary finite set. ( 2 ) If R [ x ] is a mod-retractable ring then R is a mod-retractable ring.

Page 1

Download Results (CSV)