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Ascending chain condition

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…

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Ascending chain condition

Nodes17
Edges16
Triples7
Avg. degree1.88
Density0.117647
Components1

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Ascending chain condition

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related to Comments · 3
Ascending chain condition → Assuming, Every, Similarly
related to Definition · 2
Ascending chain condition → ACC, Equivalently
related to External links · 1
Ascending chain condition → Is
see also · 1
Ascending chain condition → ArtinianAscending

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Important terminology

displaystyle chain ascending condition every ideals ideal mathbb descending well-founded ordered set conditions point algebraic commutative rings theory abstract also

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SubjectPredicateObjectConfidenceSrc
Ascending chain conditionrelated to CommentsAssuming0.60section
Ascending chain conditionrelated to CommentsSimilarly0.60section
Ascending chain conditionrelated to CommentsEvery0.60section
Ascending chain conditionrelated to DefinitionACC0.60section
Ascending chain conditionrelated to DefinitionEquivalently0.60section
Ascending chain conditionrelated to External linksIs0.60section
Ascending chain conditionsee alsoArtinianAscending0.60section

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