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metadata.dc.type: | Artigo de Periódico |
Title: | Krull dimension and integrality of symmetric algebras |
Other Titles: | Manuscripta Mathematica |
Authors: | Simis, Aron Vasconcelos, Wolmer V. |
metadata.dc.creator: | Simis, Aron Vasconcelos, Wolmer V. |
Abstract: | For a finitely generated module E over the Noetherian ring R we consider formulas for the Krull dimension of the symmetric algebra S(E). A result of Huneke and Rossi is re-proved and an eiffective formulais derived that reads the dimension of S(E) from a presentation of E. They provide a first line of obstructions for S(E) to be an integral domain. For algebras of codimension at most four we give methods, including computer-assisted ones, to ascertain whether S(E) is a Cohen-Macaulay domain. |
Publisher: | Manuscripta Mathematica |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/8367 |
Issue Date: | 1988 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
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