{"created":"2025-02-21T02:47:26.962718+00:00","id":2006087,"links":{},"metadata":{"_buckets":{"deposit":"060923e9-4bc0-40ee-8739-86f69b44a5b9"},"_deposit":{"created_by":41,"id":"2006087","owner":"41","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2006087"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02006087","sets":["1730444908512:1730444916333"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"On a study of Hilbert functions and Betti numbers of Artinian Gorenstein graded algebras","subitem_title_language":"en"},{"subitem_title":"アルティン・ゴレンスタイン次数付代数のヒルベルト関数とベッチ数列の研究","subitem_title_language":"ja"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"張間, 忠人","creatorNameLang":"ja"},{"creatorName":"Harima, Tadahito","creatorNameLang":"en"}],"familyNames":[{"familyName":"張間","familyNameLang":"ja"},{"familyName":"Harima","familyNameLang":"en"}],"givenNames":[{"givenName":"忠人","givenNameLang":"ja"},{"givenName":"Tadahito","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright(c) by Author"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"Contents  1 Introduction / p1  　1-1 Hilbert functions and Betti numbers / p1  　1-2 Characterization of possible Hilbert functions and Betti numbers / p3  　1-3 Main results / p5  2 Preliminaries / p8  　2-1 Some standard facts of linkage theory / p8  　2-2 Some basic properties of Hilbert functions / p9  3 Some examples of unimodal Gorenstein sequences / p11  　3-1 Hilbert functions of certain Gorenstein algebras / p11  　3-2 Gorenstein sequences of codimension three / p14  　3-3 Unimodal Gorenstein sequences of codimension four / p17  4 Artinian Gorenstein algebras with the weak Stanley property / p20  　4-1 A construction of a number of Artinian Gorenstein algebras with the weak Stanley property / p20  　4-2 A characterization of Hilbert functions of Artinian Gorenstein algebras with the weak Stanley property / p23  5 Artinian Gorenstein algebras of codimension three / p25  　5-1 The possible diagonal degrees / p25  　5-2 A construction of Artinian Gorenstein algebras achieving all possible Betti numbers for codimension three / p26  　5-3 Artinian Gorenstein algebras defined by the saturated diagonal degrees / p32  References / p37","subitem_description_type":"TableOfContents"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186819068":{"attribute_name":"Identifier Registration","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.11501/3147842","subitem_identifier_reg_type":"JaLC"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"1"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicPageStart":"1"}]},"item_1617187087799":{"attribute_name":"Dissertation Number","attribute_value_mlt":[{"subitem_dissertationnumber":"乙第3060号"}]},"item_1617187112279":{"attribute_name":"Degree Name","attribute_value_mlt":[{"subitem_degreename":"博士(理学)","subitem_degreename_language":"ja"},{"subitem_degreename":"Physical Science","subitem_degreename_language":"en"}]},"item_1617187136212":{"attribute_name":"Date Granted","attribute_value_mlt":[{"subitem_dategranted":"1998-03-05"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"doctoral thesis","resourceuri":"http://purl.org/coar/resource_type/c_db06"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_be7fb7dd8ff6fe43","subitem_version_type":"NA"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"1) T. HARIMA, Some examples of unimodal Gorenstein sequences, Journal of Pure and Applied Algebra, Vol.103 (1995) 313-324."}],"subitem_relation_type":"references"},{"subitem_relation_name":[{"subitem_relation_name_text":"2) T. HARIMA, Characterization of Hilbert functions of Gorenstein Artin algebras with the weak Stanley property, Proceedings of the American Mathematical Society, Vol.123 (1995) 3631-3638."}],"subitem_relation_type":"references"},{"subitem_relation_name":[{"subitem_relation_name_text":"3) T. HARIMA, A note on Artinian Gorenstein algebras of codimension three, Journal of Pure and Applied Algebra, Vol.135 (1999) 45-56."}],"subitem_relation_type":"references"},{"subitem_relation_type":"references","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1016/0022-4049(95)00109-A","subitem_relation_type_select":"DOI"}},{"subitem_relation_type":"references","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://www.jstor.org/stable/2161887","subitem_relation_type_select":"URI"}},{"subitem_relation_type":"references","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1016/S0022-4049(97)00162-X","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"diss_otsu3060.pdf","filesize":[{"value":"27.3 MB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2006087/files/diss_otsu3060.pdf"},"version_id":"3d48bad2-ef09-4a9a-a094-90ccfb82c5b0"}]},"item_1617944105607":{"attribute_name":"Degree Grantor","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"ja","subitem_degreegrantor_name":"広島大学"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"15401","subitem_degreegrantor_identifier_scheme":"kakenhi"}]},{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"en","subitem_degreegrantor_name":"Hiroshima University"}]}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"33817"},"item_title":"On a study of Hilbert functions and Betti numbers of Artinian Gorenstein graded algebras","item_type_id":"40003","owner":"41","path":["1730444916333"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2006087","relation_version_is_last":true,"title":["On a study of Hilbert functions and Betti numbers of Artinian Gorenstein graded algebras"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T02:47:35.611835+00:00"}