Generalized ⊕-supplemented modules

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2010
• Hauptverfasser: Calısıcı, H., Turkmen, E.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2010
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/154834
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Generalized ⊕-supplemented modules / H. Calısıcı, E. Turkmen // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 10–18. — Бібліогр.: 10 назв. — англ.

Let R be a ring and M be a left R-module. M is called generalized ⊕- supplemented if every submodule of M has a generalized supplement that is a direct summand of M. In this paper we give various properties of such modules. We show that any finite direct sum of generalized ⊕-supplemented modules is...