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en

Nilradical

UK
/ˈnɪlˌrædɪkəl/
US
/ˈnɪlˌrædɪkəl/
ru

Translation nilradical into russian

nilradical
Noun
raiting
UK
/ˈnɪlˌrædɪkəl/
US
/ˈnɪlˌrædɪkəl/
The nilradical of a ring is an important concept in algebra.
Нильрадикал кольца является важным понятием в алгебре.

Definitions

nilradical
Noun
raiting
UK
/ˈnɪlˌrædɪkəl/
US
/ˈnɪlˌrædɪkəl/
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.