Modules whose maximal submodules are supplements

YILMAZ, Dilek Pusat; BÜYÜKAŞIK, Engin

Modules whose maximal submodules are supplements

Engin BÜYÜKAŞIK, (İzmir Yüksek Teknoloji Enstitüsü, Fen Fakültesi, Matematik Bölümü, İzmir, Türkiye)

Dilek Pusat YILMAZ (İzmir Yüksek Teknoloji Enstitüsü, Fen Fakültesi, Matematik Bölümü, İzmir, Türkiye)

Hacettepe Journal of Mathematics and Statistics

2 0

Yıl: 2010 Cilt: 39 Sayı: 4 Sayfa Aralığı: 477 - 487 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Modules whose maximal submodules are supplements

Öz:

We study modules whose maximal submodules are supplements (direct summands). For a locally projective module, we prove that every maximal submodule is a direct summand if and only if it is semisimple and projective. We give a complete characterization of the modules whose maximal submodules are supplements over Dedekind domains.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	BÜYÜKAŞIK E, YILMAZ D (2010). Modules whose maximal submodules are supplements. , 477 - 487.
Chicago	BÜYÜKAŞIK Engin,YILMAZ Dilek Pusat Modules whose maximal submodules are supplements. (2010): 477 - 487.
MLA	BÜYÜKAŞIK Engin,YILMAZ Dilek Pusat Modules whose maximal submodules are supplements. , 2010, ss.477 - 487.
AMA	BÜYÜKAŞIK E,YILMAZ D Modules whose maximal submodules are supplements. . 2010; 477 - 487.
Vancouver	BÜYÜKAŞIK E,YILMAZ D Modules whose maximal submodules are supplements. . 2010; 477 - 487.
IEEE	BÜYÜKAŞIK E,YILMAZ D "Modules whose maximal submodules are supplements." , ss.477 - 487, 2010.
ISNAD	BÜYÜKAŞIK, Engin - YILMAZ, Dilek Pusat. "Modules whose maximal submodules are supplements". (2010), 477-487.

APA	BÜYÜKAŞIK E, YILMAZ D (2010). Modules whose maximal submodules are supplements. Hacettepe Journal of Mathematics and Statistics, 39(4), 477 - 487.
Chicago	BÜYÜKAŞIK Engin,YILMAZ Dilek Pusat Modules whose maximal submodules are supplements. Hacettepe Journal of Mathematics and Statistics 39, no.4 (2010): 477 - 487.
MLA	BÜYÜKAŞIK Engin,YILMAZ Dilek Pusat Modules whose maximal submodules are supplements. Hacettepe Journal of Mathematics and Statistics, vol.39, no.4, 2010, ss.477 - 487.
AMA	BÜYÜKAŞIK E,YILMAZ D Modules whose maximal submodules are supplements. Hacettepe Journal of Mathematics and Statistics. 2010; 39(4): 477 - 487.
Vancouver	BÜYÜKAŞIK E,YILMAZ D Modules whose maximal submodules are supplements. Hacettepe Journal of Mathematics and Statistics. 2010; 39(4): 477 - 487.
IEEE	BÜYÜKAŞIK E,YILMAZ D "Modules whose maximal submodules are supplements." Hacettepe Journal of Mathematics and Statistics, 39, ss.477 - 487, 2010.
ISNAD	BÜYÜKAŞIK, Engin - YILMAZ, Dilek Pusat. "Modules whose maximal submodules are supplements". Hacettepe Journal of Mathematics and Statistics 39/4 (2010), 477-487.