Quasi-critical ring of a primitive ring with nonzero socle

• 作 者: Jiang ZM
• 出 处: 中国科学通报：英文版
• 发表日期: 1997年3期
• 关键词: PRIMITIVE RING SOCLE CONJUGATE SPACE total SUBSPACE of CONJUGATE space. primitiv

IN ref. [1] Jacobson proved the structure theorem for primitive rings with nonzero socles that R is a primitive ring withsocle S≠{0} if and only if there is a pair of dual vector spaces (M,M’) over a division ring Δ such that S=F(M, M’)(?) R(?)(?)(M, M’),