Word: radical
Part of speech: Noun
Syllables: rad
i
cal
Definition: Given an ideal I in a commutative ring R, another ideal, denoted Rad(I) or \sqrtI, such that an element x ∈ R is in Rad(I) if, for some positive integer n, xn ∈ I; equivalently, the intersection of all prime ideals containing I.
Morphemes:
Affix: radical
Language: en
PoS: Noun
Meaning: Given an ideal I in a commutative ring R, another ideal, denoted Rad(I) or \sqrtI, such that an element x ∈ R is in Rad(I) if, for some positive integer n, xn ∈ I; equivalently, the intersection of all prime ideals containing I.
Etymology Compounds: Affix: rādix
Language: la
Decoded: radix
Meaning: root