Monomial, Gorenstein and Bass orders

• Tse-Chung Yang ^[1] ; Chia-Fu Yu ^[2]
  1. [1] National Taiwan University

     National Taiwan University

     Taiwán

     
  2. [2] Institute of Mathematics, Academia Sinica and NCTS (Taipei Office) (Taiwan)
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 4 ((April 2015) ), 2015, págs. 767-778
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.04.029
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• Resumen

  • In this article 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.