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Associated Primes of Rings

Title
Associated Primes of Rings
Authors
임보해
Issue Date
1997
Department/Major
대학원 수학과
Keywords
AssociatedPrimesRings
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
We study associated primes of an ideal Ⅰ of a Noetherian ring A and their basic properties. We also study graded rings and especially, the maximal associated graded rings of a Noetherian local ring and give the detailed proof of Ruppert. And we construct additional results and some examples relating associated primes of a Noetherian local ring and associated primes of its maximal associated graded ring.;Noetherian ring 의 한 ideal의 associated primes 과 그들의 기본적인 성질들을 공부한다. 또한 graded ring과, 특히 Noetherian ring의 a maximal associated graded ring을 공부하고 이와 관련된 Ruppert의 자세한 증명을 본다. 그리고 Noetherian ring의 associated primes과 그것의 maximal associated graded ring의 associated primes 사이의 관계를 알아보고, 이와 관련된 예들을 살펴본다.
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일반대학원 > 수학과 > Theses_Master
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