On left duo near-rings (Q1071853)
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: On left duo near-rings |
scientific article; zbMATH DE number 3939541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On left duo near-rings |
scientific article; zbMATH DE number 3939541 |
Statements
On left duo near-rings (English)
0 references
1986
0 references
The authors consider right near-rings in which every left ideal is an ideal, and extend results due to Choudhary in his thesis. There are a number of results about 2-primitive near-rings and regular left duo near-rings. The main result states that a near-ring \(N\) is strongly regular if and only if every \(N\)-subgroup is the intersection of all maximal ideals containing it.
0 references
right near-rings
0 references
2-primitive near-rings
0 references
regular left duo near-rings
0 references
strongly regular
0 references
maximal ideals
0 references