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Transactions of the American Mathematical Society

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The module index and invertible ideals

Author: David W. Ballew
Journal: Trans. Amer. Math. Soc. 148 (1970), 171-184
MSC: Primary 16.20
MathSciNet review: 0255589
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Abstract: A. Fröhlich used the module index to classify the projective modules of an order in a finite dimensional commutative separable algebra over the quotient field of a Dedekind domain. This paper extends Fröhlich's results and classifies the invertible ideals of an order in a noncommutatives eparable algebra. Several properties of invertible ideals are considered, and examples are given.

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Keywords: Orders, module index, invertible ideals, equivalent idempotents, separable algebra, reduced orders
Article copyright: © Copyright 1970 American Mathematical Society

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