Ideal-free subring

From Commalg
Revision as of 01:51, 9 March 2008 by Vipul (talk | contribs) (New page: {{curing-subring property}} ==Definition== A subring in a commutative unital ring is termed '''ideal-free''' if it does not contain any nonzero ideal of the ring.)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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.