H -supplemented modules with respect to a preradical

• Main Authors: Yahya Talebi, A. R. Moniri Hamzekolaei, Derya Keskin Tutuncu
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2011
• Series: Algebra and Discrete Mathematics
• Online Access: http://dspace.nbuv.gov.ua/handle/123456789/154821

Let M be a right R-module and τ a preradical. We call M τ-H-supplemented if for every submodule A of M there exists a direct summand D of M such that (A+D)/D⊆τ(M/D) and (A+D)/A⊆τ(M/A). Let τ be a cohereditary preradical. Firstly, for a duo module M=M₁⊕M₂ we prove that M is τ-H-supplemented if and on...