|
|
|
|
|
Some radical properties
of rings with (a,b,c) =
(c,a,b)
David Pokrass |
|
Vol. 76 (1978), No. 2, 479–483
|
Abstract |
|
A ring is an s-ring if (for fixed s) As is an ideal whenever A is. We show that at least two different definitions for the prime radical are equivalent in s-rings. If R satisfies (a,b,c) = (c,a,b) then R is a 2-ring. In this note we investigate various properties of the prime and nil radicals of R. In addition, if R is a finite dimensional algebra over a field of characteristic ≠2 of 3 we show that the concepts of nil and nilpotent are equivalent. |
Mathematical Subject Classification 2000
Primary: 17A30
|
Milestones
Received: 6 December 1976
Published: 1 June 1978
|
Authors |
| David Pokrass | |
|
