On H-Supplemented Modules

Tutuncu D., NEMATOLLAHI M. J., Talebi Y.

ALGEBRA COLLOQUIUM, cilt.18, ss.915-924, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18
  • Basım Tarihi: 2011
  • Dergi Adı: ALGEBRA COLLOQUIUM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.915-924
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Let M = circle plus(n)(i=1) M(i) be a finite direct sum of modules. We prove: (i) If M(i) is radical M(j)-projective for all j > i and each M(i) is H-supplemented, then M is H-supplemented. (ii) If all the M(i) are relatively projective and M is H-supplemented, then each M(i) is H-supplemented.