Maximal immediate extensions are not necessarily maximally complete

Journal of the Australian Mathematical Society

Hans Heinrich Brungs¹ 

[1] Günter Törner

关键词: primary 16 A 20;    16 A 14;    secondary 13 A18;   

DOI  :  10.1017/S1446788700030482

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

An extension R1 of a right chain ring R is called immediate if R1 has the same residue division ring and the same lattice of principal right ideals as R. Properties of such immediate extensions are studied. It is proved that for every R, maximal immediate extensions exist, but that in contrast to the commutative case maximal right chain rings are not necessarily linearly compact.

【 授权许可】

Unknown