One-dimensional Cohen-Macaulay local rings of multiplicity three (Q752095)
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scientific article; zbMATH DE number 4177239
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One-dimensional Cohen-Macaulay local rings of multiplicity three |
scientific article; zbMATH DE number 4177239 |
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One-dimensional Cohen-Macaulay local rings of multiplicity three (English)
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1989
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This paper is a case by case study of one-dimensional local Cohen- Macaulay rings (R,\({\mathfrak m})\) with \(e(R)=3\) and \(em\dim (R)=3\). It determines the lattice of finite integral extensions in the total quotient ring of R and the canonical equations relating the elements of a suitable minimal basis of \({\mathfrak m}\).
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form ring
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local Cohen-Macaulay rings
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lattice of finite integral extensions
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minimal basis
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