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Algebras Over Dedekind Domains

Published online by Cambridge University Press:  20 November 2018

Joseph A. Wehlen
Joseph A. Wehlen*
Affiliation:
Ohio University, Athens, Ohio
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The purpose of this paper is two-fold : first, to show that Dedekind domains satisfy a generalization of the Wedderburn-Mal'cev Theorem and, secondly, to classify certain types of finitely generated projective algebras over a Dedekind domain.

With respect to the first problem, E. C. Ingraham has shown that a Dedekind domain R is an inertial coefficient ring (IC-ring) if and only if R has zero radical or R is a local Hensel ring.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 4 , August 1973 , pp. 842 - 855
Copyright
Copyright © Canadian Mathematical Society 1973

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