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Prime avoidance lemma

In algebra, the prime avoidance lemma says that if an ideal I in a commutative ring R is contained in a union of finitely many prime ideals Pi's, then it is contained in Pi for some i.

E. Davis' prime avoidance, Statement and proof & Overview

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Overview

Statement and proof

E. Davis' prime avoidance

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Prime avoidance lemma

Nodes21
Edges20
Triples5
Avg. degree1.9
Density0.095238
Components1

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Prime avoidance lemma

Top relations

related to Statement and proof · 5
Prime avoidance lemma → If, In, Let, The, Theorem

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Important terminology

displaystyle prime mathfrak ideal ring avoidance union lemma statement algebra subset dots inductive hypothesis leq n-1 since commutative ideals follows

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Prime avoidance lemmarelated to Statement and proofThe0.60section
Prime avoidance lemmarelated to Statement and proofTheorem0.60section
Prime avoidance lemmarelated to Statement and proofLet0.60section
Prime avoidance lemmarelated to Statement and proofIn0.60section
Prime avoidance lemmarelated to Statement and proofIf0.60section

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