ON THE SUBSTRUCTURES Delta AND del

Truong Cong Quynh T. C. Q., Kosan M. T.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.45, sa.2, ss.661-674, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1216/rmj-2015-45-2-661
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.661-674
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this paper, we discuss the question of when the substructures, the singular sub-bimodule Delta[M, N] and the cosingular bi-submodule del[M, N] of Hom(M, N), are equal to zero. Some well-known results of regular rings are obtained. Moreover, the substructures Delta[M, N] and del[M, N] with M and N that are direct sums of submodules are studied.