環の単純拡大に現れる整拡大となる部分環について

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概要

• 論文の詳細を見る

• For the study of a simple ring extension A = R[α] over a commutative ring R, the subring R[α]∩R[α^<-1>] is important. So, in this paper, we study the subring which is integral over R.

• 岡山理科大学の論文

著者

• 吉田 憲一

  Department Of Applied Mathematics Okayama University Of Science

• 吉田 憲一

  Department Of Applied Mathematics Faculty Of Science Okayama University Of Science

• 吉田 憲一

  岡山理科大

• 田枝 覚

  岡山理科大学大学院理学研究科

• 吉田 憲一

  岡山理科大学

関連論文

• A note on a condition for the obstruction ideal of an element α to be equal to the obstruction ideal of a linear fractional transform of α
• Flatness and some other properties of a finitely generated extension of anti-integral elements over a Noetherian domain
• A note on some conditions on integrality of the intersection of two simple ring extensions
• Linear Fractional Transforms of an Anti-integral Element over a Noetherian Domain
• Ideals generated by α-a and ideals generated by aα-1 of a Laurent extension R[α,α^-1] of a Noetherian domain
• Extensions R[α] and R[α^2]of a Noetherian domain R
• The Picard group of a finitely generated and birational extension of a Noetherian domain
• Some Properties of Generalized Denominator Ideals
• On Finite Generation of an Intersection R〔α〕∩K
• On Obstructions of Anti-Integrallity and Super-Primitiveness
• Anti-Integral Polynomials, Super-Primitive Polynomials and Flat Polynomials
• Finitely Generated Ring-Extensions of Anti-Integral Type
• On Coefficient Rings of Ideals
• On Pseudo-Affine Domains
• Remarks on the Flatness of Anti-Integral Extensions
• Notes on the Flatness of Simple Extensions of Integrally Extended Domains
• On Super-Primitiveness of α and α〔-1〕
• Super-Primitive Ideals and Sharma Polynomials in Polynomial Rings
• On Exclusive Extensions of Noetherian Domains
• Notes on Anti-integral Elements and Pseudo-smiple Extensions
• Invertible Elements of a Super-Primitive Ring Extension Over a Noetherian Domain
• Prime Divisors of a Principal Ideal
• Some Properties of Irreducible Ideals
• Quasi-regular Sequences and Regular Sequences
• Flatness and LCM-stability of anti-integral extensions over Noetherian domains
• The number of points lying over simple anti-integral morphisms
• Flatness of Simple Ring Extensions over Noetherian Rings
• The Classification of Primary Ideals
• 環の単純拡大に現れる整拡大となる部分環について
• Some Remarks on the Unit Groups of the Rings of an Anti-integral Extension
• The Behaviour of Ideals in Simple Birational Extensions of Rings
• On the Relevant Transforms and Prime Divisors of the Powers of an Ideal
• Semi Anti-Integral Elements and Integral Extensions
• On Valuation Ideals and Integrally Closed Ideals

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