τ_ψ-素挠理论

τ_ψ-prime torsion theories

通过上临界模在Moritacontext函子作用下所保持的性质 ,引入了τψ-素挠理论 ,再讨论τψ -素挠理论的特殊性质 ;并通过 R -tors中GenR(τψ)与S -tors中GenS(τφ)之间的保序映射Θ及它的逆映射Δ ,讨论τψ -素挠理论与τφ - 素挠理论之间的关系等 .

Using the properties of cocritical modules by the Morita context functors, we give the concepts of τ_ψ-prime torsion theories. Meanwhile we argue about several properites. Then using bijection Θ and Δ beetween Gen_R(τ_ψ)and Gen_S(τ_φ), we argue about relationship beetween τ_ψ-prime torsion theories and τ_φ-prime torsion theories.