Connected ring

In mathematics, especially in the field of commutative algebra, a connected ring is a commutative ring A that satisfies one of the following equivalent conditions: * A possesses no non-trivial (that is, not equal to 1 or 0) idempotent elements; * the spectrum of A with the Zariski topology is a connected space.

Connected ring

In mathematics, especially in the field of commutative algebra, a connected ring is a commutative ring A that satisfies one of the following equivalent conditions: * A possesses no non-trivial (that is, not equal to 1 or 0) idempotent elements; * the spectrum of A with the Zariski topology is a connected space.