1. In ring theory and commutative algebra, a proper ideal of a ring that is contained in a unique maximal ideal
The ring of integers has local ideals at each prime number.
O anel dos inteiros tem ideais locais em cada número primo.
2. An ideal in a local ring, which is a ring with a unique maximal ideal
We studied the structure of local ideals in polynomial rings.
Estudamos a estrutura de ideais locais em anéis polinomiais.