Akademik Veri Yönetim Sistemi
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.15, sa.1, 2016 (SCI İndekslerine Giren Dergi)
In this paper, we introduce and investigate the latticial counterparts of the conditions (C-i), i = 1, 2, 3, 11, 12, for modules. In particular, we study the lattices satisfying the condition (C-1), we call CC lattices (for Closed are Complements), i.e. the lattices such that any closed element is a complement, that are the latticial counterparts of CS modules (for Closed are Summands). Applications of these results are given to Grothendieck categories and module categories equipped with a torsion theory.