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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 wikiPageRevisionID "572354780".
- Ascending_chain_condition hasPhotoCollection Ascending_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 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 label "Condición de la cadena ascendente".
- Ascending_chain_condition label "Conditions de chaîne".
- Ascending_chain_condition label "Condizione della catena ascendente".
- Ascending_chain_condition label "Ketenvoorwaarde".
- Ascending_chain_condition label "升链条件".
- Ascending_chain_condition sameAs Condición_de_la_cadena_ascendente.
- Ascending_chain_condition sameAs Conditions_de_chaîne.
- Ascending_chain_condition sameAs Condizione_della_catena_ascendente.
- Ascending_chain_condition sameAs Ketenvoorwaarde.
- Ascending_chain_condition sameAs m.014b7.
- Ascending_chain_condition sameAs Q2528476.
- Ascending_chain_condition sameAs Q2528476.
- Ascending_chain_condition wasDerivedFrom Ascending_chain_condition?oldid=572354780.
- Ascending_chain_condition isPrimaryTopicOf Ascending_chain_condition.