Matches in DBpedia 2016-04 for { ?s ?p "In abstract algebra, an element x of a set with a binary operation ∗ is called an idempotent element (or just an idempotent) if x ∗ x = x. This reflects the idempotence of the binary operation on that particular element.Idempotents are especially prominent in ring theory. For general rings, elements idempotent under multiplication are tied with decompositions of modules, as well as to homological properties of the ring."@en }
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- Idempotent_element comment "In abstract algebra, an element x of a set with a binary operation ∗ is called an idempotent element (or just an idempotent) if x ∗ x = x. This reflects the idempotence of the binary operation on that particular element.Idempotents are especially prominent in ring theory. For general rings, elements idempotent under multiplication are tied with decompositions of modules, as well as to homological properties of the ring.".
- Q2243424 comment "In abstract algebra, an element x of a set with a binary operation ∗ is called an idempotent element (or just an idempotent) if x ∗ x = x. This reflects the idempotence of the binary operation on that particular element.Idempotents are especially prominent in ring theory. For general rings, elements idempotent under multiplication are tied with decompositions of modules, as well as to homological properties of the ring.".