Completely semisimple ring semigroups

Journal of the Australian Mathematical Society

John Hannah¹ 

[1] J. S. Richardson

关键词: primary 20 M 25;    secondary 16 A 30;    16 A 32;    16 A 42;    20 M 12;   

DOI  :  10.1017/S1446788700016438

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let R be a ring in which the multiplicative semigroup is completely semisimple. If R has the maximum (respectively, minimum) condition on principal multiplicative ideals. then R is semiprime artinian (respectively, a direct sum of dense rings of finite-rank linear transformations of vector spaces over division rings).

【 授权许可】

Unknown