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Group functor

In mathematics, a group functor is a group-valued functor on the category of commutative rings. Although it is typically viewed as a generalization of a group scheme, the notion itself involves no scheme theory. Because of this feature, some authors, notably Waterhouse and Milne (who followed Waterhouse), develop the theory of group schemes based on the…

Group functor as a generalization of a group scheme, Group sheaf & Overview

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Group functor as a generalization of a group scheme

Gluing axiomFunctor of points
2 related topics

Group sheaf

TorsorP-divisible group
2 related topics

Overview

Group schemeScheme theoryFormal group
3 related topics

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Group functor as a generalization of a group scheme

Group sheaf

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Group functor

Nodes11
Edges10
Triples4
Avg. degree1.82
Density0.181818
Components1

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Group functor

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related to Group sheaf · 3
Group functor → For, It, The
is a · 1
Group functor → group-valued functor on the category of commutative rings

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group functor scheme category notion sheaf topology theory generalization displaystyle mathematics waterhouse schemes particular contravariant mathsf sch satisfying gluing axiom

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SubjectPredicateObjectConfidenceSrc
Group functoris agroup-valued functor on the category of commutative rings0.90text
Group functorrelated to Group sheafIt0.60section
Group functorrelated to Group sheafThe0.60section
Group functorrelated to Group sheafFor0.60section

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