On the Gorenstein property of rees and form rings of power of ideals
In this paper we determine the exponents n for which the Rees ring R(In) and the form ring grA (In) are Gorenstein rings, where I is a strongly Cohen-Macaulay ideal of linear type (including complete and almost complete intersections) or an m-primary ideal in a local ring A with maximal ideal m.
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Status: | Published version |
| Publication date: | 1994 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/7763 |
| Online Access: | https://hdl.handle.net/2445/7763 |
| Access Level: | Open access |
| Keyword: | Anells commutatius Àlgebra commutativa Anells locals Commutative rings Commutative algebra Local rings |
| _version_ | 1878733595866038272 |
|---|---|
| author | Herrmann, Manfred, 1932- |
| author2 | Ribbe, J. Zarzuela, Santiago |
| author2_role | author author |
| author_browse | Herrmann, Manfred, 1932- Ribbe, J. Zarzuela, Santiago |
| author_facet | Herrmann, Manfred, 1932- Ribbe, J. Zarzuela, Santiago |
| author_role | author |
| collection | Recercat. Dipósit de la Recerca de Catalunya |
| description | In this paper we determine the exponents n for which the Rees ring R(In) and the form ring grA (In) are Gorenstein rings, where I is a strongly Cohen-Macaulay ideal of linear type (including complete and almost complete intersections) or an m-primary ideal in a local ring A with maximal ideal m. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_593f8a7d90efdf3d28ebcbd425906ee2 |
| institution | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| instname_str | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:recercat.cat:2445/7763 |
| publishDate | 1994 |
| publishDateSort | 1994 |
| publisher | American Mathematical Society |
| publisherStr | American Mathematical Society |
| reponame_str | Recercat. Dipósit de la Recerca de Catalunya |
| spelling | On the Gorenstein property of rees and form rings of power of ideals Herrmann, Manfred, 1932- Ribbe, J. Zarzuela, Santiago Anells commutatius Àlgebra commutativa Anells locals Commutative rings Commutative algebra Local rings In this paper we determine the exponents n for which the Rees ring R(In) and the form ring grA (In) are Gorenstein rings, where I is a strongly Cohen-Macaulay ideal of linear type (including complete and almost complete intersections) or an m-primary ideal in a local ring A with maximal ideal m. American Mathematical Society https://hdl.handle.net/2445/7763 |
| spellingShingle | On the Gorenstein property of rees and form rings of power of ideals Herrmann, Manfred, 1932- Anells commutatius Àlgebra commutativa Anells locals Commutative rings Commutative algebra Local rings |
| status_str | publishedVersion |
| title | On the Gorenstein property of rees and form rings of power of ideals |
| title_full | On the Gorenstein property of rees and form rings of power of ideals |
| title_fullStr | On the Gorenstein property of rees and form rings of power of ideals |
| title_full_unstemmed | On the Gorenstein property of rees and form rings of power of ideals |
| title_short | On the Gorenstein property of rees and form rings of power of ideals |
| title_sort | On the Gorenstein property of rees and form rings of power of ideals |
| topic | Anells commutatius Àlgebra commutativa Anells locals Commutative rings Commutative algebra Local rings |
| topic_facet | Anells commutatius Àlgebra commutativa Anells locals Commutative rings Commutative algebra Local rings |
| url | https://hdl.handle.net/2445/7763 |