CORRESPONDENCES OF COCLOSED SUBMODULES

Crivei S., Inankil H., Kosan M. T., Olteanu G.

COMMUNICATIONS IN ALGEBRA, cilt.41, sa.10, ss.3635-3647, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 10
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1080/00927872.2012.673667
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3635-3647
  • Gazi Üniversitesi Adresli: Hayır

Özet

We establish an order-preserving bijective correspondence between the sets of coclosed elements of some bounded lattices related by suitable Galois connections. As an application, we deduce that if M is a finitely generated quasi-projective left R-module with S=End(R)(M) and N is an M-generated left R-module, then there exists an order-preserving bijective correspondence between the sets of coclosed left R-submodules of N and coclosed left S-submodules of Hom(R)(M, N).