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ON ORDERS OF M(2, K) OVER A NON-ARCHIMEDEAN LOCAL FIELD

dc.citation.epage1149en_US
dc.citation.issue5en_US
dc.citation.spage1137en_US
dc.citation.volume7en_US
dc.citation.woscount1
dc.contributor.authorTu, Fang-Tingen_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.date.accessioned2014-12-08T15:28:25Z
dc.date.available2014-12-08T15:28:25Z
dc.date.issued2011-08-01en_US
dc.description.abstractLet K be a non-Archimedean local field. In this paper, we first show that if an order in M(2, K) is the intersection of (finitely many) maximal orders in M(2, K), then it is the intersection of at most three maximal orders. Using this result, we obtain a complete classification of orders in M(2, K) that are intersections of maximal orders.en_US
dc.identifier.doi10.1142/S1793042111004654en_US
dc.identifier.issn1793-0421en_US
dc.identifier.journalINTERNATIONAL JOURNAL OF NUMBER THEORYen_US
dc.identifier.urihttp://dx.doi.org/10.1142/S1793042111004654en_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/20571
dc.identifier.wosnumberWOS:000294613800002
dc.language.isoen_USen_US
dc.subjectOrders in quaternion algebraen_US
dc.titleON ORDERS OF M(2, K) OVER A NON-ARCHIMEDEAN LOCAL FIELDen_US
dc.typeArticleen_US

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