A **Zariski ring** is a particular type of ring that arises in the context of algebraic geometry and commutative algebra. Specifically, it is often studied in relation to the Zariski topology, which is a topology on the spectrum of a ring that is fundamental to the study of algebraic varieties. More formally, a **Zariski ring** can be defined based on certain properties of its prime ideals and its relation to the Zariski topology.
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