Comaximality

Translation of "comaximality" into Russian

Noun

comaximality

comaximalities pl

комаксимальность

The concept of comaximality is important in ring theory.

Понятие комаксимальности важно в теории колец.

Noun

The condition of two or more elements in a ring having a greatest common divisor that is a unit, meaning they generate the entire ring when combined.

In the ring of integers, the numbers 4 and 9 exhibit comaximality because their greatest common divisor is 1.

The property of two or more ideals in a ring whose sum equals the entire ring, making them comaximal.

Because (x) + (y) = k[x, y], the ideals (x) and (y) exhibit comaximality.