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Zariski topologies

Zariski topologies is the plural of Zariski topology.

Meaning of Zariski topology

Noun

Zariski topology (plural Zariski topologies)

  1. 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.
    • The Zariski topology allows tools from topology to be used in the study of algebraic varieties, even when the underlying field is not a topological field.

Questions about Zariski topologies

What is Zariski topologies the plural of?
Zariski topologies is the plural of Zariski topology.

Words near Zariski topologies in the dictionary

  1. Zarings
  2. zaris
  3. Zariski
  4. Zariski space
  5. Zariski spaces
  6. Zariski topologies
  7. Zariski topology
  8. Zariski-Riemann space
  9. Zariski-Riemann spaces
  10. Zariskian
  11. Zariyah

Source and license

Adapted from Wiktionary: Zariski topologies (page history and authors); Zariski topology (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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