On Supplement Submodules

• Published in: Український математичний журнал
• Date: 2013
• Main Authors: Nebiyev, C., Pancar, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165587
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Supplement Submodules / C. Nebiyev, A. Pancar // Український математичний журнал. — 2013. — Т. 65, № 7. — С. 961–966. — Бібліогр.: 14 назв. — англ.

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...