Turkish Journal of Mathematics
DOI
-
Abstract
R will be an associative ring with identity and modules M will be unital left R- modules. In this work, extending modules and lifting modules with the SSP (or SIP) are studied. A necessary and sufficient condition for a module M to have the SSP is that for every decomposition M = A\oplus B and f\in Hom(A,B), Im(f) is a direct summand of B. Among others it is shown also that a (C_3) module with the SIP has the SSP, and a (D_3) module with SSP has the SIP.
Keywords
SIP modules, SSP modules, extending modules, lifting modules.
First Page
131
Last Page
148
Recommended Citation
ALKAN, MUSTAFA and HARMANCI, ABDULLAH (2002) "On Summand Sum and Summand Intersection Property of Modules," Turkish Journal of Mathematics: Vol. 26: No. 2, Article 1. Available at: https://journals.tubitak.gov.tr/math/vol26/iss2/1
