Remarks on VHC-orders in a simple artinian ring

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extremal orders inside simple artinian rings

the aim of this paper is to study orders over a valuation ring v with arbitrary rank in acentral simple f-algebra q. the relation between all of the orders is explained with a diagram. it is thenshown that inside bezout order, extremal v-orders are precisely semi-hereditary. in the last section, theeffect of henselization on maximal and semi-hereditary orders is examined.

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 1984

ISSN: 0022-4049

DOI: 10.1016/0022-4049(84)90081-1