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演講公告
  • 標題:Monomial,Gorenstein and Bass Orders
  • 公告日期:2014-11-01

演講者:楊策仲 博士(中央研究院數學研究所)

  題:Monomial,Gorenstein and Bass Orders

時  間:1031110日(一)16:1017:00

地  點:政大應數系  E化教室070221(志希樓二樓)

  會:演講前30分鐘於教師休息室(果夫樓一樓)

        (陸 行主任和余屹正老師接待)

  要:

  In the integral theory for central simple algebras over non-Archimedean local fields, we have the following important classes of orders: maximal orders, hereditary orders, Bass orders and Gorenstein orders. Many theories and relations are investigated by many authors for understanding these classes of orders, as well as their module structures.

  In this talk, we study a class of orders called monomial orders in a central simple algebra over a non-Archimedean local field. Monomial orders are easily represented and they may be also viewed as a direct generalization of Eichler orders in quaternion algebras. A criterion for monomial orders to be Gorenstein or to be Bass is given. It is shown that a monomial order is Bass if and only if it is either a hereditary or an Eichler order of period two.

 

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  • 最後修改時間:2014-12-01 PM 2:34

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