Some properties of and relations between several （big） lattices of module classes are used in this paper to obtain information about the ring over which modules are taken. The authors reach characterizations of triv...Some properties of and relations between several （big） lattices of module classes are used in this paper to obtain information about the ring over which modules are taken. The authors reach characterizations of trivial rings, semisimple rings and certain rings over which every torsion theory is hereditary.展开更多
文摘Some properties of and relations between several （big） lattices of module classes are used in this paper to obtain information about the ring over which modules are taken. The authors reach characterizations of trivial rings, semisimple rings and certain rings over which every torsion theory is hereditary.
