The module index and invertible ideals

Ballew, David W.

doi:10.1090/S0002-9947-1970-0255589-8

The module index and invertible ideals
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by David W. Ballew PDF

Trans. Amer. Math. Soc. 148 (1970), 171-184 Request permission

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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