Nagata ring

id: nagata-ring-234-16111314
title: Nagata ring
text: In commutative algebra, an N-1 ring is an integral domain A whose integral closure in its quotient field is a finitely generated A -module. It is called a Japanese ring if for every finite extension L of its quotient field K , the integral closure of A in L is a finitely generated A -module. A ring is called universally Japanese if every finitely generated integral domain over it is Japanese, and is called a Nagata ring, named for Masayoshi Nagata, or a pseudo-geometric ring if it is Noetherian
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Nagata_ring
date created:
date modified: 2024-04-15T00:40:04Z
main entity: {"identifier":"Q6958665","url":"https://www.wikidata.org/entity/Q6958665"}
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fields total: 13
integrity: 13

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