[
    {
        "id": "authors:bwdc6-49t68",
        "collection": "authors",
        "collection_id": "bwdc6-49t68",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20201022-100905016",
        "type": "article",
        "title": "On the theory of orders, in particular on the semigroup of ideal classes and genera of an order in an algebraic number field",
        "author": [
            {
                "family_name": "Dade",
                "given_name": "E. C.",
                "clpid": "Dade-E-C"
            },
            {
                "family_name": "Taussky",
                "given_name": "O.",
                "clpid": "Taussky-Todd-O"
            },
            {
                "family_name": "Zassenhaus",
                "given_name": "H.",
                "clpid": "Zassenhaus-H"
            }
        ],
        "abstract": "The study of fractional ideals of orders of algebraic number fields and their equivalence is closely related to the study of matrices with rational integral elements and their similarities under unimodular transformations. \n\nSuch a study should at some stage proceed to the inspection of actual numerical examples. However, quite simple questions, such as the problem of the arithmetical equivalence of two ideals with the same order (see below), require a large number of computational steps. Therefore this task calls for the use of automatic highspeed computers.",
        "doi": "10.1007/bf01438389",
        "issn": "0025-5831",
        "publisher": "Springer Verlag",
        "publication": "Mathematische Annalen",
        "publication_date": "1962-02",
        "series_number": "1",
        "volume": "148",
        "issue": "1",
        "pages": "31-64"
    }
]