On a Class of ⊕-Supplemented Modules

ÜNGÖR B., HALICIOĞLU S., Harmanci A.

31st Ohio State-Denison Mathematics Conference, Ohio, Amerika Birleşik Devletleri, 25 - 27 Mayıs 2012, ss.123-125 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1090/conm/609/12091
  • Basıldığı Şehir: Ohio
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.123-125
  • Anahtar Kelimeler: Principally lifting module, principally supplemented module, circle plus-supplemented module, principally circle plus-supplemented module, principally semisimple module
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we introduce principally circle plus-supplemented modules as a generalization of circle plus-supplemented modules and principally lifting modules. This class of modules is a strengthening of principally supplemented modules. We show that the class of principally circle plus-supplemented modules lies between classes of EH-supplemented modules and principally supplemented modules. We prove that some results of circle plus-supplemented modules and principally lifting modules can be extended to principally circle plus-supplemented modules for this general setting. We obtain some characterizations of principally semiperfect rings and von Neumann regular rings by using principally circle plus-supplemented modules.