Let R be a graded ring by a group G. For tile relative rings R, R# G(smash product), Re, Q(R)(quotient ring), R^G(fixed ring), R * G(crossed product) and normal- izing extensions ring S of R, we study the properti...Let R be a graded ring by a group G. For tile relative rings R, R# G(smash product), Re, Q(R)(quotient ring), R^G(fixed ring), R * G(crossed product) and normal- izing extensions ring S of R, we study the properties of nonsingular, right uniform,right socle. When R_R is a Y J-injective module, we have J(R) = Z(R).展开更多
文摘Let R be a graded ring by a group G. For tile relative rings R, R# G(smash product), Re, Q(R)(quotient ring), R^G(fixed ring), R * G(crossed product) and normal- izing extensions ring S of R, we study the properties of nonsingular, right uniform,right socle. When R_R is a Y J-injective module, we have J(R) = Z(R).
