In the 19th problem of [1], J. S. Golan put forward the following question: 'For what kind of ring R is it true that the map γ_#:R-tors→S-tors is surjective for every ring surjective homomorphism r: R→S?' w...In the 19th problem of [1], J. S. Golan put forward the following question: 'For what kind of ring R is it true that the map γ_#:R-tors→S-tors is surjective for every ring surjective homomorphism r: R→S?' where both R and S are associative rings with identity, R-tors stands for a lattice composed of all hereditary torsion theories in left R-module category R-Mod and for each τ ∈ R-tors, γ_#(τ)=σ=(f_σ,f_σ)∈S-tors, in展开更多
文摘In the 19th problem of [1], J. S. Golan put forward the following question: 'For what kind of ring R is it true that the map γ_#:R-tors→S-tors is surjective for every ring surjective homomorphism r: R→S?' where both R and S are associative rings with identity, R-tors stands for a lattice composed of all hereditary torsion theories in left R-module category R-Mod and for each τ ∈ R-tors, γ_#(τ)=σ=(f_σ,f_σ)∈S-tors, in
