
Nilpotents

Перевод nilpotents на русский язык
nilpotent
Существительноеnilpotents
множ.
nilpotent
nilpotents множ.
In algebra, a nilpotent element is an element of a ring that becomes zero when raised to some power.
В алгебре нильпотентный элемент — это элемент кольца, который становится нулем при возведении в некоторую степень.
Опеределения
nilpotent
СуществительноеAn element of a ring or algebra that, when raised to some power, results in zero.
In the matrix algebra, the matrix A is nilpotent because A^3 equals the zero matrix.
nilpotent
ПрилагательноеHaving the property that a certain power of the element is zero, typically used in the context of algebraic structures such as matrices or operators.
In the context of linear algebra, a nilpotent matrix is one that becomes the zero matrix when raised to a certain power.