{"created":"2022-01-28T01:58:20.442459+00:00","id":2007001,"links":{},"metadata":{"_buckets":{"deposit":"dfd9f4dd-b6b1-43f2-9355-87b87cafe1d4"},"_deposit":{"id":"2007001","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"2007001"},"status":"published"},"_oai":{"id":"oai:u-ryukyu.repo.nii.ac.jp:02007001","sets":["1642837622505:1642837994858:1642837999100","1642838403551:1642838406414"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Some Differentials in the mod 3 Adams Sepectral Sequence","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Nakamura, Osamu","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"中村, 治","creatorNameLang":"ja"}]}]},"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_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"Let A_p be the mod p Steenrod algebra. J. F. Adams [1] introduced a spectral sequence which has as its E_2 term Ext_A_p (H*(X), Z_p) and which converges to a graded algebra associated to π^s_*(X;p) i. e., the p-primary stable homotopy groups of X. In this paper we will study this sequence for X=S^n, P=3. The first problem in any use of the Adams spectral sequence is to obtain E_2 = Ext^<s,t>_<A_3>(Z_3, Z_3). We do this by the technique of J. P. May [5] J. P. May constructed another spectral sequence which has as its E_∞　term an algebra E^oExt, i. e. a tri-graded algebra associated to E_2 = Ext. In [9], we extended (and corrected) May's computations to obtain complete information on E_oExt through dimension 158. The next problem is to obtain the differentials in the Adams spectral sequence. J. P. May [5] and S.Oka have previously determined all differentials at least in the range t-s≦77 by using the results of the 3-components of stable homotopy groups of sphere which have been calculated by H.Toda [12,13,14,15] J.P.May [5] and S.Oka [10]. The purpose of this paper is to evaluate the differentials in the range 78≦t-s≦104. Our main result is Theorem 3.19. Finally the auther wishes to extend his gratitude to Dr. Shichiro Oka for valuable information and discussions during this investigation.","subitem_description_type":"Other"},{"subitem_description":"紀要論文","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"琉球大学理工学部","subitem_publisher_language":"ja"},{"subitem_publisher":"Science and Engineering Division, University of the Ryukyus","subitem_publisher_language":"en"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186783814":{"attribute_name":"Identifier","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/20.500.12000/23687"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"AN0025080X","subitem_source_identifier_type":"NCID"}]},"item_1617186941041":{"attribute_name":"Source Title","attribute_value_mlt":[{"subitem_source_title":"琉球大学理工学部紀要. 理学編","subitem_source_title_language":"ja"},{"subitem_source_title":"Bulletin of Science & Engineering Division, University of Ryukyus. Mathematics & natural sciences","subitem_source_title_language":"en"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1975-03","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"19","bibliographicPageEnd":"25","bibliographicPageStart":"1"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_be7fb7dd8ff6fe43","subitem_version_type":"NA"}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","filename":"No19p001_2.pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://u-ryukyu.repo.nii.ac.jp/record/2007001/files/No19p001_2.pdf"},"version_id":"e2ec73b2-c0fa-4e36-a26f-fb2cafd74145"},{"accessrole":"open_access","filename":"No19p001_1.pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://u-ryukyu.repo.nii.ac.jp/record/2007001/files/No19p001_1.pdf"},"version_id":"91d9d02d-cbec-4880-9f73-b7060e768676"}]},"item_title":"Some Differentials in the mod 3 Adams Sepectral Sequence","item_type_id":"15","owner":"1","path":["1642837999100","1642838406414"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2012-03-06"},"publish_date":"2012-03-06","publish_status":"0","recid":"2007001","relation_version_is_last":true,"title":["Some Differentials in the mod 3 Adams Sepectral Sequence"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-10-31T03:13:04.866526+00:00"}