Regular symmetric algebras (Q1101516)
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scientific article; zbMATH DE number 4045899
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular symmetric algebras |
scientific article; zbMATH DE number 4045899 |
Statements
Regular symmetric algebras (English)
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1988
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Let R be a commutative (coherent or Noetherian) regular ring (regular means that every finitely general ideal of R has finite projective dimension) and let S be an R-algebra. The question dealt with in this paper is under what conditions will S be a coherent regular ring. Special attention is paid to: symmetric algebras of flat modules, polynomial rings and group rings of abelian groups.
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finite projective dimension
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coherent regular ring
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symmetric algebras
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polynomial rings
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group rings
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