东北数学（英文版）
東北數學（英文版）
동북수학（영문판）
NORTHEASTERN MATHEMATICAL JOURNAL
2000年
1期
61-66
,共6页
finite subring%direct sum%matrix ring
Let R be an infinite ring with a maximal finite subring. We prove that R has a largest finite ideal and a largest finite nilpotent ideal N. By a B-ring, we mean an infinite ring with 1 containing a maximal finite subring which is a subfield containing 1. It is shown that R/N≌U⊕V⊕W, where U is a finite ring, V is a finite direct sum of matrix rings over B-rings, and W is a ring containing no nonzero finite subrings.
