{"created":"2021-03-01T06:14:47.837908+00:00","id":11894,"links":{},"metadata":{"_buckets":{"deposit":"c4ab0364-08ae-4fed-baca-c979326ea358"},"_deposit":{"id":"11894","owners":[],"pid":{"revision_id":0,"type":"depid","value":"11894"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00011894","sets":["1169:1170"]},"item_6_biblio_info_6":{"attribute_name":"\u66f8\u8a8c\u60c5\u5831","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"430","bibliographicPageStart":"406","bibliographicVolumeNumber":"37","bibliographic_titles":[{"bibliographic_title":"Communications in Algebra"}]}]},"item_6_description_20":{"attribute_name":"\u6284\u9332","attribute_value_mlt":[{"subitem_description":"We study Gorenstein dimension and grade of a module M over a filtered ring whose associated graded ring is a commutative Noetherian ring. An equality or an inequality between these invariants of a filtered module and its associated graded module is the most valuable property for an investigation of filtered rings. We prove an inequality G-dimM <= G-dim grM and an equality grade M = grade grM, whenever Gorenstein dimension of grM is finite (Theorems 2.3 and 2.8). We would say that the use of G-dimension adds a new viewpoint for studying filtered rings and modules. We apply these results to a filtered ring with a Cohen-Macaulay or Gorenstein associated graded ring and study a Cohen-Macaulay, perfect, or holonomic module.","subitem_description_type":"Abstract"}]},"item_6_description_30":{"attribute_name":"\u8cc7\u6e90\u30bf\u30a4\u30d7\uff08\u30b3\u30f3\u30c6\u30f3\u30c4\u306e\u7a2e\u985e\uff09","attribute_value_mlt":[{"subitem_description":"Article","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"\u5f15\u7528","attribute_value_mlt":[{"subitem_description":"Communications in Algebra. 37(2):406-430 (2009)","subitem_description_type":"Other"}]},"item_6_link_3":{"attribute_name":"\u4fe1\u5dde\u5927\u5b66\u7814\u7a76\u8005\u7dcf\u89a7\u3078\u306e\u30ea\u30f3\u30af","attribute_value_mlt":[{"subitem_link_text":"Nishida, K","subitem_link_url":"http://soar-rd.shinshu-u.ac.jp/profile/ja.yNTpPaSm.html"}]},"item_6_link_67":{"attribute_name":"WoS","attribute_value_mlt":[{"subitem_link_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000263199400002"}]},"item_6_publisher_4":{"attribute_name":"\u51fa\u7248\u8005","attribute_value_mlt":[{"subitem_publisher":"Taylor & Francis Inc."}]},"item_6_relation_48":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"10.1080/00927870802248605"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1080/00927870802248605","subitem_relation_type_select":"DOI"}}]},"item_6_select_64":{"attribute_name":"\u8457\u8005\u7248\u30d5\u30e9\u30b0","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_6_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0092-7872","subitem_source_identifier_type":"ISSN"}]},"item_6_source_id_40":{"attribute_name":"\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID","attribute_value_mlt":[{"subitem_source_identifier":"AA00611371","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"\u8457\u8005","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Miyahara,  H"}],"nameIdentifiers":[{"nameIdentifier":"36461","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Nishida,  K"}],"nameIdentifiers":[{"nameIdentifier":"36462","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"\u30d5\u30a1\u30a4\u30eb\u60c5\u5831","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2015-09-28"}],"displaytype":"detail","filename":"cmh-rev-2.pdf","filesize":[{"value":"181.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"cmh-rev-2.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/11894/files/cmh-rev-2.pdf"},"version_id":"eeef6c50-a6a0-4393-b465-7007aae3dd68"}]},"item_keyword":{"attribute_name":"\u30ad\u30fc\u30ef\u30fc\u30c9","attribute_value_mlt":[{"subitem_subject":"Gorenstein dimension"},{"subitem_subject":"grade"},{"subitem_subject":"filtered ring"},{"subitem_subject":"Cohen-Macaulay module"},{"subitem_subject":"holonomic module"}]},"item_language":{"attribute_name":"\u8a00\u8a9e","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"\u8cc7\u6e90\u30bf\u30a4\u30d7","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"COHEN-MACAULAY MODULES AND HOLONOMIC MODULES OVER FILTERED RINGS","item_titles":{"attribute_name":"\u30bf\u30a4\u30c8\u30eb","attribute_value_mlt":[{"subitem_title":"COHEN-MACAULAY MODULES AND HOLONOMIC MODULES OVER FILTERED RINGS"}]},"item_type_id":"6","owner":"1","path":["1169/1170"],"pubdate":{"attribute_name":"\u516c\u958b\u65e5","attribute_value":"2010-02-02"},"publish_date":"2010-02-02","publish_status":"0","recid":"11894","relation_version_is_last":true,"title":["COHEN-MACAULAY MODULES AND HOLONOMIC MODULES OVER FILTERED RINGS"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2021-07-05T00:36:55.825303+00:00"}