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A Theorem On Zariski Rings
Published online by Cambridge University Press: 20 November 2018
Extract
Given a Noetherian ring A with unit element and an ideal m of A such that
,
we may topologize A by adopting {mn; n = 1, 2, …} as a fundamental system of neighborhoods of 0. This topologized ring is usually referred to as an m-adic ring, and is called a Zariski ring if its ideals are all closed.
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- Copyright © Canadian Mathematical Society 1956
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