T-nilpotence and preradicals (Q762249)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: T-nilpotence and preradicals |
scientific article; zbMATH DE number 3887882
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | T-nilpotence and preradicals |
scientific article; zbMATH DE number 3887882 |
Statements
T-nilpotence and preradicals (English)
0 references
1985
0 references
The T-nilpotence of an ideal K of a ring R is described by means of the left exact preradical Hom(R/K, ). The concept of essential extensions for preradicals is introduced and it is shown that a radical has no proper essential preradical extensions. Finally, as an application, a very simple proof of the generalized Nakayama lemma, together with a partial converse, is given.
0 references
T-nilpotence
0 references
ideal
0 references
left exact preradical
0 references
radical
0 references
essential extensions for preradicals
0 references
generalized Nakayama lemma
0 references
0.88822293
0 references
0 references
0 references
0 references
