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- Idempotent_element abstract "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. In Boolean algebra, the main objects of study are rings in which all elements are idempotent under both addition and multiplication.".
- Idempotent_element wikiPageExternalLink idempotent.
- Idempotent_element wikiPageExternalLink index.html.
- Idempotent_element wikiPageID "361940".
- Idempotent_element wikiPageLength "15001".
- Idempotent_element wikiPageOutDegree "61".
- Idempotent_element wikiPageRevisionID "667480665".
- Idempotent_element wikiPageWikiLink Abstract_algebra.
- Idempotent_element wikiPageWikiLink Additive_inverse.
- Idempotent_element wikiPageWikiLink Annihilator_(ring_theory).
- Idempotent_element wikiPageWikiLink Ascending_chain_condition.
- Idempotent_element wikiPageWikiLink Associative_algebra.
- Idempotent_element wikiPageWikiLink Atom_(order_theory).
- Idempotent_element wikiPageWikiLink Baer_ring.
- Idempotent_element wikiPageWikiLink Bijection.
- Idempotent_element wikiPageWikiLink Binary_operation.
- Idempotent_element wikiPageWikiLink Boolean_algebra.
- Idempotent_element wikiPageWikiLink Boolean_ring.
- Idempotent_element wikiPageWikiLink Category:Abstract_algebra.
- Idempotent_element wikiPageWikiLink Catenoid.
- Idempotent_element wikiPageWikiLink Center_(algebra).
- Idempotent_element wikiPageWikiLink Chinese_remainder_theorem.
- Idempotent_element wikiPageWikiLink Complete_lattice.
- Idempotent_element wikiPageWikiLink Completion_(algebra).
- Idempotent_element wikiPageWikiLink Direct_product.
- Idempotent_element wikiPageWikiLink Direct_sum_of_modules.
- Idempotent_element wikiPageWikiLink Division_ring.
- Idempotent_element wikiPageWikiLink Endomorphism_ring.
- Idempotent_element wikiPageWikiLink Finitely_generated_module.
- Idempotent_element wikiPageWikiLink Free_On-line_Dictionary_of_Computing.
- Idempotent_element wikiPageWikiLink Homological_algebra.
- Idempotent_element wikiPageWikiLink Idempotence.
- Idempotent_element wikiPageWikiLink Idempotent_matrix.
- Idempotent_element wikiPageWikiLink If_and_only_if.
- Idempotent_element wikiPageWikiLink Injective_module.
- Idempotent_element wikiPageWikiLink Integral_domain.
- Idempotent_element wikiPageWikiLink Involution_(mathematics).
- Idempotent_element wikiPageWikiLink Irreducible_ring.
- Idempotent_element wikiPageWikiLink Jacobson_radical.
- Idempotent_element wikiPageWikiLink Join_and_meet.
- Idempotent_element wikiPageWikiLink Jordan_algebra.
- Idempotent_element wikiPageWikiLink Local_ring.
- Idempotent_element wikiPageWikiLink Module_(mathematics).
- Idempotent_element wikiPageWikiLink Nil_ideal.
- Idempotent_element wikiPageWikiLink Noetherian_ring.
- Idempotent_element wikiPageWikiLink Partially_ordered_set.
- Idempotent_element wikiPageWikiLink Peirce_decomposition.
- Idempotent_element wikiPageWikiLink Perfect_ring.
- Idempotent_element wikiPageWikiLink Projective_cover.
- Idempotent_element wikiPageWikiLink Ring_theory.
- Idempotent_element wikiPageWikiLink SBI_ring.
- Idempotent_element wikiPageWikiLink Schurs_lemma.
- Idempotent_element wikiPageWikiLink Semi-local_ring.
- Idempotent_element wikiPageWikiLink Semisimple_module.
- Idempotent_element wikiPageWikiLink Separable_algebra.
- Idempotent_element wikiPageWikiLink Singleton_(mathematics).
- Idempotent_element wikiPageWikiLink Split-quaternion.
- Idempotent_element wikiPageWikiLink Square-free_integer.
- Idempotent_element wikiPageWikiLink Unit_(ring_theory).
- Idempotent_element wikiPageWikiLink Von_Neumann_regular_ring.
- Idempotent_element wikiPageWikiLink Zero_divisor.
- Idempotent_element wikiPageWikiLinkText "Idempotent element".
- Idempotent_element wikiPageWikiLinkText "Idempotent element#Types of ring idempotents".
- Idempotent_element wikiPageWikiLinkText "Idempotent".
- Idempotent_element wikiPageWikiLinkText "Idempotent_element#Types_of_ring_idempotents".
- Idempotent_element wikiPageWikiLinkText "Involutions are related to idempotent".
- Idempotent_element wikiPageWikiLinkText "central idempotent".
- Idempotent_element wikiPageWikiLinkText "central orthogonal".
- Idempotent_element wikiPageWikiLinkText "full idempotent".
- Idempotent_element wikiPageWikiLinkText "idempotent element".
- Idempotent_element wikiPageWikiLinkText "idempotent".
- Idempotent_element wikiPageWikiLinkText "idempotents lift".
- Idempotent_element wikiPageWikiLinkText "idempotents".
- Idempotent_element wikiPageWikiLinkText "orthogonal idempotent".
- Idempotent_element wikiPageUsesTemplate Template:Citation.
- Idempotent_element wikiPageUsesTemplate Template:Harv.
- Idempotent_element wikiPageUsesTemplate Template:Lang_Algebra.
- Idempotent_element wikiPageUsesTemplate Template:Refbegin.
- Idempotent_element wikiPageUsesTemplate Template:Refend.
- Idempotent_element wikiPageUsesTemplate Template:Sfn.
- Idempotent_element subject Category:Abstract_algebra.
- 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.".
- Idempotent_element label "Idempotent element".
- Idempotent_element sameAs Q2243424.
- Idempotent_element sameAs 冪等元.
- Idempotent_element sameAs Idempotent_element.
- Idempotent_element sameAs m.0n_9ygr.
- Idempotent_element sameAs Ідемпотентний_елемент.
- Idempotent_element sameAs Q2243424.
- Idempotent_element wasDerivedFrom Idempotent_element?oldid=667480665.
- Idempotent_element isPrimaryTopicOf Idempotent_element.