Ideal-free subring

From Commalg

This article defines a property that can be evaluated for a unital subring in a commutative unital ring: given any commutative unital ring and a subring thereof, the property is either true or false for the pair
View a complete list of such properties

Definition

A subring in a commutative unital ring is termed ideal-free if it does not contain any nonzero ideal of the ring.