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- Ascending_chain_condition abstract "In mathematics, the ascending chain condition (ACC) and descending chain condition (DCC) are finiteness properties satisfied by some algebraic structures, most importantly, ideals in certain commutative rings. These conditions played an important role in the development of the structure theory of commutative rings in the works of David Hilbert, Emmy Noether, and Emil Artin.The conditions themselves can be stated in an abstract form, so that they make sense for any partially ordered set. This point of view is useful in abstract algebraic dimension theory due to Gabriel and Rentschler.".
- Ascending_chain_condition wikiPageID "3189".
- Ascending_chain_condition wikiPageLength "3022".
- Ascending_chain_condition wikiPageOutDegree "26".
- Ascending_chain_condition wikiPageRevisionID "702276021".
- Ascending_chain_condition wikiPageWikiLink Artinian.
- Ascending_chain_condition wikiPageWikiLink Ascending_chain_condition_on_principal_ideals.
- Ascending_chain_condition wikiPageWikiLink Category:Commutative_algebra.
- Ascending_chain_condition wikiPageWikiLink Category:Order_theory.
- Ascending_chain_condition wikiPageWikiLink Category:Wellfoundedness.
- Ascending_chain_condition wikiPageWikiLink Commutative_ring.
- Ascending_chain_condition wikiPageWikiLink David_Hilbert.
- Ascending_chain_condition wikiPageWikiLink Emil_Artin.
- Ascending_chain_condition wikiPageWikiLink Emmy_Noether.
- Ascending_chain_condition wikiPageWikiLink Eventually_(mathematics).
- Ascending_chain_condition wikiPageWikiLink Ideal_(ring_theory).
- Ascending_chain_condition wikiPageWikiLink Infinite_descending_chain.
- Ascending_chain_condition wikiPageWikiLink Integer.
- Ascending_chain_condition wikiPageWikiLink Introduction_to_Commutative_Algebra.
- Ascending_chain_condition wikiPageWikiLink Krull_dimension.
- Ascending_chain_condition wikiPageWikiLink Michael_Atiyah.
- Ascending_chain_condition wikiPageWikiLink Michiel_Hazewinkel.
- Ascending_chain_condition wikiPageWikiLink Nathan_Jacobson.
- Ascending_chain_condition wikiPageWikiLink Noetherian.
- Ascending_chain_condition wikiPageWikiLink Partially_ordered_set.
- Ascending_chain_condition wikiPageWikiLink Semigroup.
- Ascending_chain_condition wikiPageWikiLink Springer_Science+Business_Media.
- Ascending_chain_condition wikiPageWikiLink Total_order.
- Ascending_chain_condition wikiPageWikiLink Well-founded_relation.
- Ascending_chain_condition wikiPageWikiLink Well-order.
- Ascending_chain_condition wikiPageWikiLinkText "Ascending chain condition".
- Ascending_chain_condition wikiPageWikiLinkText "Ascending/Descending chain condition".
- Ascending_chain_condition wikiPageWikiLinkText "Ascending/descending chain condition".
- Ascending_chain_condition wikiPageWikiLinkText "Ascending_chain_condition".
- Ascending_chain_condition wikiPageWikiLinkText "ascending chain condition".
- Ascending_chain_condition wikiPageWikiLinkText "ascending chain of ideals".
- Ascending_chain_condition wikiPageWikiLinkText "ascending chain".
- Ascending_chain_condition wikiPageWikiLinkText "ascending or descending chain condition".
- Ascending_chain_condition subject Category:Commutative_algebra.
- Ascending_chain_condition subject Category:Order_theory.
- Ascending_chain_condition subject Category:Wellfoundedness.
- Ascending_chain_condition hypernym Properties.
- Ascending_chain_condition type Building.
- Ascending_chain_condition type Field.
- Ascending_chain_condition type Redirect.
- Ascending_chain_condition comment "In mathematics, the ascending chain condition (ACC) and descending chain condition (DCC) are finiteness properties satisfied by some algebraic structures, most importantly, ideals in certain commutative rings. These conditions played an important role in the development of the structure theory of commutative rings in the works of David Hilbert, Emmy Noether, and Emil Artin.The conditions themselves can be stated in an abstract form, so that they make sense for any partially ordered set.".
- Ascending_chain_condition label "Ascending chain condition".
- Ascending_chain_condition sameAs Q2528476.
- Ascending_chain_condition sameAs Condición_de_la_cadena_ascendente.
- Ascending_chain_condition sameAs Conditions_de_chaîne.
- Ascending_chain_condition sameAs תנאי_שרשרת_(מתמטיקה).
- Ascending_chain_condition sameAs Condizione_della_catena_ascendente.
- Ascending_chain_condition sameAs 昇鎖条件.
- Ascending_chain_condition sameAs 사슬_조건.
- Ascending_chain_condition sameAs Ketenvoorwaarde.
- Ascending_chain_condition sameAs m.014b7.
- Ascending_chain_condition sameAs Q2528476.
- Ascending_chain_condition sameAs 升链条件.
- Ascending_chain_condition wasDerivedFrom Ascending_chain_condition?oldid=702276021.
- Ascending_chain_condition isPrimaryTopicOf Ascending_chain_condition.