{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:24:34Z","timestamp":1777645474914,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2021,4,15]],"date-time":"2021-04-15T00:00:00Z","timestamp":1618444800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2021,4,15]]},"abstract":"<jats:p>The group of singular elements was first introduced by Helmut Hasse and later it has been studied by numerous authors including such well known mathematicians as: Cassels, Furtw\u00e4ngler, Hecke, Knebusch, Takagi and of course Hasse himself; to name just a few. The aim of the present paper is to present algorithms that explicitly construct groups of singular and S-singular elements (modulo squares) in a global function field.<\/jats:p>","DOI":"10.3233\/fi-2021-2022","type":"journal-article","created":{"date-parts":[[2021,4,16]],"date-time":"2021-04-16T12:51:51Z","timestamp":1618577511000},"page":"227-238","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Computing Singular Elements Modulo Squares"],"prefix":"10.1177","volume":"179","author":[{"given":"Przemys\u0142aw","family":"Koprowski","sequence":"first","affiliation":[{"name":"Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland."}]}],"member":"179","published-online":{"date-parts":[[2021,4,15]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2021-2022","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2021-2022","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:19Z","timestamp":1777444339000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2021-2022"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,15]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,4,15]]}},"alternative-id":["10.3233\/FI-2021-2022"],"URL":"https:\/\/doi.org\/10.3233\/fi-2021-2022","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,4,15]]}}}