Ideal-free subring: Difference between revisions
(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.) |
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Latest revision as of 16:23, 12 May 2008
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.