Weak-projective dimensions
Authors : Mohammad Javad Nikmehr, Zahra Poormahmood And Reza Nikandish
Pages : 627-636
View : 6 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper, the notions of weak-projective modules and weak-projective dimension over commutative domain R are given. It is shown that over semisimple rings with weak global dimension 1, these modules are equivalent to weak-injective modules. The weak-projective dimension measures how far away a domain is from being a Prüfer domain. Several properties of these modules are also presented.Keywords : Semi-Dedekind domain, Weak-injective modules, Weak- projective dimension, projective modules, Prüfer domain