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Ideal matrices II

Taussky, Olga (1963) Ideal matrices II. Mathematische Annalen, 150 (3). pp. 218-225. ISSN 0025-5831. doi:10.1007/bf01396991. https://resolver.caltech.edu/CaltechAUTHORS:20201022-100904791

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Abstract

In order to make this paper self-contained the definition of ideal matrix is repeated. It is a square matrix of rational integers which transforms a basis for the integers of an algebraic number field (or of an order in such a field) into a basis for an ideal. The aim of this paper is to describe such a matrix from the prime ideal factorization of the corresponding ideal.


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https://doi.org/10.1007/bf01396991DOIArticle
https://rdcu.be/b8V02PublisherFree ReadCube access
Additional Information:© 1963 Springer. (Received December 10, 1962) To B. L. van DER WAERDEN on his sixtieth birthday. This work was carried out (in part) under a grant of the National Science Foundation. Acknowledgment is made to helpful remarks of Professors E. C. DADE (in particular in connection with Theorems 1,7) and A. FRÖHLICH.
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Issue or Number:3
DOI:10.1007/bf01396991
Record Number:CaltechAUTHORS:20201022-100904791
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201022-100904791
Official Citation:Taussky, O. Ideal matrices II. Math. Ann. 150, 218–225 (1963). https://doi.org/10.1007/BF01396991
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106211
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 Oct 2020 22:28
Last Modified:16 Nov 2021 18:51

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