On GCO-modules and M-small modules

Let M be a right R-module. Define Z (N) ( 8 M (N )) to be the set of elements n e N for any R- module N in a[M] such that nR is an M-small (respectively 8-M-small) modüle. In this note it is proved that M is a GCO-module if and only if every M-small modüle in o[M] is M-projective if and only if every * 8-M-small modüle in o[M] is M-projective. Also, if M/8 M (M) is semisimple then M is a GCO-module if and only if M is an Sl-module.

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  • Communications, Series A1:Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover
  • ISSN: 1303-5991
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1948
  • Yayıncı: Ankara Üniversitesi