Abstract
Abstract Throughout this chapter, R denotes a discrete valuation ring with quotient field K, maximal ideal P = πR≠0, and residue class field R = R/P. We have already seen in (10.5) that the study of maximal R-ordcrs in separable K-algcbras can be reduced to the case of central simple algebras. We shall investigate this case in detail here, by using the results from Chapter III on maximal orders in skewficlds, and then applying the Morita equivalence between skewfields and full matrix algebras over skcwficlds.
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