Principal Ideal
An ideal I of a ring R is called principal if there is an element a of R such that
| I=aR={ar:r in R}. |
In other words, the ideal is generated by the element a. For example, the ideals nZ of the ring of integers Z are all principal, and in fact all ideals of Z are principal.
See also
Ideal, Principal Ring, RingExplore with Wolfram|Alpha
WolframAlpha
Cite this as:
Weisstein, Eric W. "Principal Ideal." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PrincipalIdeal.html