Monomial, Gorenstein and Bass Orders

2013/08/27 by Yang, Tse-Chung, Yu, Chia-Fu
#FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1308.6017

Abstract

In this article we study a class of orders called \it 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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