Weakly distributive modules. Applications to supplement submodules
Yükleniyor...
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Proceedings Of The Indian Academy Of Sciences-Mathematical Sciences
Erişim Hakkı
Özet
In this paper, we define and study weakly distributive modules as a proper generalization of distributive modules.We prove that, weakly distributive supplemented modules are amply supplemented. In a weakly distributive supplemented module every submodule has a unique coclosure. This generalizes a result of Ganesan and Vanaja. We prove that ?-projective duo modules, in particular commutative rings, are weakly distributive. Using this result we obtain that in a commutative ring supplements are unique. This generalizes a result of Camillo and Lima. We also prove that any weakly distributive ?-supplemented module is quasi-discrete.
Açıklama
Anahtar Kelimeler
Distributive module, Supplement submodule
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Büyükaşık E., Demirci, Y. M., "Weakly distributive modules. Applications to supplement submodules". Proceedings Of The Indian Academy Of Sciences-Mathematical Sciences. Vol. 120, No. 5, November 2010, pp. 525–534.
