Direct summands of circle plus-supplemented modules

Orhan N., Tuetuencue D. K., Tribak R.

ALGEBRA COLLOQUIUM, cilt.14, sa.4, ss.625-630, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1142/s1005386707000570
  • Dergi Adı: ALGEBRA COLLOQUIUM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.625-630
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

A module M is called circle plus-supplemented if every submodule of M has a supplement that is a direct summand of M. It is shown that if M is a circle plus-supplemented module and r(M) is a coclosed submodule of M for a left preradical r, then r(M) is a direct summand of M, and both r(M) and M/r(M) are circle plus-supplemented.