The lattice of ideals of certain rings
Abstract
Let A be a unitary ring and let (I(A),⊂eq ) be the lattice of ideals of the ring A. In this article we will study the property of the lattice (I(A),⊂eq) to be Noetherian or not, for various types of rings A. In the last section of the article we study certain rings that are not Boolean rings, but all their ideals are idempotent.
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