{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T06:44:35Z","timestamp":1740120275317,"version":"3.37.3"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"08","funder":[{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund FWF","doi-asserted-by":"crossref","award":["P25652"],"award-info":[{"award-number":["P25652"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2021,12]]},"abstract":"<jats:p>For each integer [Formula: see text], we define a category whose objects are discriminant algebra functors in rank [Formula: see text], namely, choices of how to attach functorially to each rank-[Formula: see text] algebra a quadratic algebra with the same discriminant. We show that the discriminant algebra functors defined by Loos, Rost, and the present authors are all isomorphic in this category, and prove furthermore that in ranks [Formula: see text] discriminant algebra functors are unique up to unique isomorphism.<\/jats:p>","DOI":"10.1142\/s0218196721500600","type":"journal-article","created":{"date-parts":[[2021,10,5]],"date-time":"2021-10-05T14:29:29Z","timestamp":1633444169000},"page":"1633-1662","source":"Crossref","is-referenced-by-count":0,"title":["Isomorphisms of discriminant algebras"],"prefix":"10.1142","volume":"31","author":[{"given":"Owen","family":"Biesel","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Center for Mathematics and Computing, Carleton College, Northfield, MN, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alberto","family":"Gioia","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,10,5]]},"reference":[{"key":"S0218196721500600BIB001","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2004.159.1329"},{"key":"S0218196721500600BIB002","doi-asserted-by":"crossref","first-page":"1051","DOI":"10.4171\/dm\/552","volume":"21","author":"Biesel O.","year":"2016","journal-title":"Doc. Math."},{"key":"S0218196721500600BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0070723"},{"key":"S0218196721500600BIB004","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-02-11514-2"},{"issue":"1","key":"S0218196721500600BIB006","first-page":"33","volume":"38","author":"Loos O.","year":"1997","journal-title":"Beitr. Algebra Geom."},{"key":"S0218196721500600BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/s00209-007-0123-6"},{"key":"S0218196721500600BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/BF00401158"},{"key":"S0218196721500600BIB009","doi-asserted-by":"publisher","DOI":"10.24033\/asens.1124"},{"issue":"19","key":"S0218196721500600BIB010","first-page":"A869","volume":"290","author":"Roby N.","year":"1980","journal-title":"C. R. Math. Acad. Sci. Paris S\u00e9r. A-B"},{"key":"S0218196721500600BIB012","doi-asserted-by":"publisher","DOI":"10.1215\/ijm\/1369841800"},{"key":"S0218196721500600BIB013","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.2016.283.483"},{"key":"S0218196721500600BIB014","first-page":"209","volume":"379","author":"Waterhouse W. C.","year":"1987","journal-title":"J. Reine Angew. Math."},{"key":"S0218196721500600BIB015","doi-asserted-by":"publisher","DOI":"10.2140\/ant.2011.5.1069"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196721500600","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,11]],"date-time":"2023-01-11T03:47:56Z","timestamp":1673408876000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196721500600"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,5]]},"references-count":13,"journal-issue":{"issue":"08","published-print":{"date-parts":[[2021,12]]}},"alternative-id":["10.1142\/S0218196721500600"],"URL":"https:\/\/doi.org\/10.1142\/s0218196721500600","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"type":"print","value":"0218-1967"},{"type":"electronic","value":"1793-6500"}],"subject":[],"published":{"date-parts":[[2021,10,5]]}}}