Generalized \(p\)-rings (Q1964677)
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: Generalized \(p\)-rings |
scientific article; zbMATH DE number 1406307
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized \(p\)-rings |
scientific article; zbMATH DE number 1406307 |
Statements
Generalized \(p\)-rings (English)
0 references
22 October 2000
0 references
A ring \(R\) of characteristic \(p\), where \(p\) is prime, is called a generalized \(p\)-ring if \((x-x^p)(y-y^p)=0\), for all \(x,y\in R\). This notion is a generalization of Boolean-like rings, \(p\)-rings and Boolean rings. In this paper, the authors investigate properties of generalized \(p\)-rings.
0 references
Boolean-like rings
0 references
Boolean rings
0 references
generalized \(p\)-rings
0 references
0.9575659
0 references
0 references
0.9316671
0 references
