{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,23]],"date-time":"2025-10-23T16:44:45Z","timestamp":1761237885548},"reference-count":0,"publisher":"American Mathematical Society (AMS)","issue":"280","license":[{"start":{"date-parts":[[2013,3,21]],"date-time":"2013-03-21T00:00:00Z","timestamp":1363824000000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>Due to a certain ambiguity present in section 3 of [E. Thomas, <italic>Fundamental units for orders in certain cubic number fields<\/italic>, J. Reine Angew. Math. 310 (1979), 33-55], it became necessary to amend a crucial definition and a few proofs appearing in our article <italic>Fundamentality of a cubic unit <inline-formula content-type=\"math\/mathml\">\n<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"u\">\n  <mml:semantics>\n    <mml:mi>u<\/mml:mi>\n    <mml:annotation encoding=\"application\/x-tex\">u<\/mml:annotation>\n  <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula> for <inline-formula content-type=\"math\/mathml\">\n<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"double-struck upper Z left-bracket u right-bracket\">\n  <mml:semantics>\n    <mml:mrow>\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\n        <mml:mi mathvariant=\"double-struck\">Z<\/mml:mi>\n      <\/mml:mrow>\n      <mml:mo stretchy=\"false\">[<\/mml:mo>\n      <mml:mi>u<\/mml:mi>\n      <mml:mo stretchy=\"false\">]<\/mml:mo>\n    <\/mml:mrow>\n    <mml:annotation encoding=\"application\/x-tex\">\\mathbb {Z}[u]<\/mml:annotation>\n  <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula>.<\/italic> Here, the necessary corrections are provided.<\/p>","DOI":"10.1090\/s0025-5718-2012-02501-4","type":"journal-article","created":{"date-parts":[[2012,3,22]],"date-time":"2012-03-22T23:40:38Z","timestamp":1332459638000},"page":"2383-2387","source":"Crossref","is-referenced-by-count":1,"title":["Corrigenda and addenda to \u201cFundamentality of a cubic unit \ud835\udc62 for \u2124[\ud835\udd66]\u201d"],"prefix":"10.1090","volume":"81","author":[{"given":"J.","family":"Beers","sequence":"first","affiliation":[]},{"given":"D.","family":"Henshaw","sequence":"additional","affiliation":[]},{"given":"C.","family":"McCall","sequence":"additional","affiliation":[]},{"given":"S.","family":"Mulay","sequence":"additional","affiliation":[]},{"given":"M.","family":"Spindler","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2012,3,21]]},"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/mcom\/2012-81-280\/S0025-5718-2012-02501-4\/S0025-5718-2012-02501-4.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/mcom\/2012-81-280\/S0025-5718-2012-02501-4\/S0025-5718-2012-02501-4.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,30]],"date-time":"2021-07-30T04:55:09Z","timestamp":1627620909000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/2012-81-280\/S0025-5718-2012-02501-4\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3,21]]},"references-count":0,"journal-issue":{"issue":"280","published-print":{"date-parts":[[2012,10]]}},"alternative-id":["S0025-5718-2012-02501-4"],"URL":"https:\/\/doi.org\/10.1090\/s0025-5718-2012-02501-4","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["0025-5718","1088-6842"],"issn-type":[{"value":"0025-5718","type":"print"},{"value":"1088-6842","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3,21]]}}}