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A product theorem for ideals over orders

Published online by Cambridge University Press:  24 October 2008

Michael Singer
Michael Singer
Affiliation:
31 Link Lane, Sutton, Ely, Cambs.
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Extract

Fröhlich(1) has obtained certain invariants for modules over commutative separable orders over dedekind domains, whose values are ideals in the dedekind domain. In two particular applications he has shown that these invariants supply a criterion for a module over a given order to be projective ((1), Theorem 4), and another one for a fractional ideal to be invertible ((1), Theorem 5).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 1 , July 1970 , pp. 17 - 20
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Fröhlich, A.Invariants for modules over commutative separable orders. Quart. J. Math. Oxford Ser. (2) 16 (1965), 193–232.CrossRefGoogle Scholar
(2)Singer, M.Invertible powers of ideals over orders in commutative separable algebras. Proc. Cambridge Philos. Soc. 67 (1970), 237–242.CrossRefGoogle Scholar
(3)Zariski, O. and Samuel, P.Commutative algebra, I. (Princeton, 1958).Google Scholar