Title of article :
Weak-projective dimensions
Author/Authors :
Nikmehr, Mohammad Javad k.n.toosi university of technology - Department of Mathematics, تهران, ايران , Poormahmood, Zahra k.n.toosi university of technology - Department of Mathematics, تهران, ايران , Nikandish, Reza k.n.toosi university of technology - Department of Mathematics, تهران, ايران
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 Prufer domain. Several properties of these modules are also presented.
Keywords :
Semi , Dedekind domain , Weak , injective modules , Weak , projective dimension, projective modules , Pr¨ufer domain
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
