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Amitsur complex

In algebra, the Amitsur complex is a natural complex associated to a ring homomorphism. It was introduced by Shimshon Amitsur. When the homomorphism is faithfully flat, the Amitsur complex is exact (thus determining a resolution), which is the basis of the theory of faithfully flat descent.

Exactness of the Amitsur complex, Definition & Overview

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Exactness of the Amitsur complex

Alexander GrothendieckHomotopy operatorBhattScholzePerfect rings
7 related topics

Definition

Cosimplicial set
1 related topics

Overview

AlgebraComplexRing homomorphismShimshon AmitsurFaithfully flat
7 related topics

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Definition

Exactness of the Amitsur complex

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Amitsur complex

Nodes19
Edges18
Triples4
Avg. degree1.89
Density0.105263
Components1

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Amitsur complex

Top relations

related to Arc topology case · 3
Amitsur complex → Amitsur, Bhatt, Scholze
is a · 1
Amitsur complex → natural complex associated to a ring homomorphism

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Important terminology

displaystyle complex amitsur exact homomorphism flat theta otimes faithfully thus ring rings define bullet step resolution arc topology algebra cosimplicial

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SubjectPredicateObjectConfidenceSrc
Amitsur complexis anatural complex associated to a ring homomorphism0.90text
Amitsur complexrelated to Arc topology caseBhatt0.60section
Amitsur complexrelated to Arc topology caseScholze0.60section
Amitsur complexrelated to Arc topology caseAmitsur0.60section

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