On Supplement Submodules

• Date: 2013
• Main Authors: Nebiyev, C., Pancar, A., Небієв, С., Пансар, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2481
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate some properties of supplement submodules. Some relations between lying-above and weak supplement submodules are also studied. Let V be a supplement of a submodule U in M. Then it is possible to define a bijective map between the maximal submodules of V and the maximal submodules of M...