Zariski topology

English

Etymology

After Russian-born American mathematician Template:W (1899—1986), regarded as one of the most influential algebraic geometers of the 20th century.

Noun

1. Template:Lb Originally, a topology applicable to algebraic varieties, such that the closed sets are the variety's algebraic subvarieties; later, a generalisation in which the topological space is the set of prime ideals of a commutative ring and is called the spectrum of the ring.

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Usage notes

The application of Zariski topology to algebraic varieties is a central idea of scheme theory, a branch of algebraic geometry.

Related terms

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Translations

• German: Template:T
• Russian: Template:T

Further reading

• Zariski topology on Template:W
• Zariski Topology on Template:W
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