ON NON-delta-M-COSINGULAR COMPLETELY circle plus-delta(M)-SUPPLEMENTED MODULES

KESKİN TÜTÜNCÜ D., Kaynarca F., KOŞAN M. T.

5th China-Japan-Korea International Symposium on Ring Therory 2007, Tokyo, Japonya, 10 - 15 Eylül 2007, ss.189-190 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası:
  • Doi Numarası: 10.1142/9789812818331_0016
  • Basıldığı Şehir: Tokyo
  • Basıldığı Ülke: Japonya
  • Sayfa Sayıları: ss.189-190
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper we prove that any circle plus-delta(M)-supplemented module N is an element of sigma [M] with SSP is completely circle plus-delta(M)-supplemented. It is also proved that any non-delta-M-cosingular circle plus-delta(M)-supplemented module N is an element of sigma [M] is (D-3) if and only if N has the SIP. Let N is an element of sigma [M] be any module such that (Z) over bar delta(M) (N) has a coclosure in N. Then we prove that N is (completely) circle plus-delta(M)-supplemented if and only if N = (Z) over bar (2)(delta M) (N) circle plus K for some submodule K of N such that (Z) over bar (2)(delta M) (N) and K both are (completely) circle plus-delta(M)-supplemented.