CORRESPONDENCES OF COCLOSED SUBMODULES
COMMUNICATIONS IN ALGEBRA, cilt.41, sa.10, ss.3635-3647, 2013 (SCI-Expanded, Scopus)
- 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).