en

Nilradicals

UK
/ˈnɪlˌrædɪkəlz/
US
/ˈnɪlˌrædɪkəlz/
ru

Translation nilradicals into russian

nilradical
Noun
nilradicals pl
raiting
nilradical
nilradicals pl
The nilradical of a ring is an important concept in algebra.
Нильрадикал кольца является важным понятием в алгебре.

Definitions

nilradical
Noun
raiting
In ring theory, the nilradical of a ring is the set of all nilpotent elements, which are elements that become zero when raised to some power.
The nilradical of a commutative ring is an ideal consisting of all nilpotent elements.