Turkish Journal of Mathematics
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.
DOI
-
Keywords
SIP modules, SSP modules, extending modules, lifting modules.
First Page
131
Last Page
148
Recommended Citation
ALKAN, M, & HARMANCI, A (2002). On Summand Sum and Summand Intersection Property of Modules. Turkish Journal of Mathematics 26 (2): 131-148. https://doi.org/-
