Abstract: For a hereditary torsion theory T,this paper mainly discuss properties of A_-τ- injective modules,where A is a fixed left R-module.It is proved that if M is an A_-τ-injective, B is a submodule of A,then 1)M is A/B-τ-injective;2)M is B_-τ-injective when B isτ- dense in A.Furthermore,we show that if A₁,A_2,…,A_n are relatively injective modules, then A₁⊕A₂⊕…⊕A_n is self-τ-injective if and only if A_{i i}s self_-τ-injective for each i. 

Key words: hereditary torsion theory, T-dense submodule, A_-T-injective module