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On Ramification Theory in Projective Orders

Published online by Cambridge University Press:  22 January 2016

Shizuo Endo
Shizuo Endo*
Affiliation:
Tokyo University of Education
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The ramification theory in commutative rings, as a generalization of the classical one in maximal orders over a Dedekind domain, was established in [1], [13], [15] and etc.. For non-commutative algebras this was also studied in [3], [4], [9], [18] and etc.. However, the different theorem, which is a central part of ramification theory, has not been given in those, except for some special cases (cf. [12], [18]). The main object of this paper is to give the discriminant theorem and the different theorem for projective orders in a (non-commutative) separable algebra, in the most general form.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 36 , November 1969 , pp. 121 - 141
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1969

References

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