References
C. C. MacDuffee, An introduction to the theory of ideals in linear associative rings. Trans. Amer. Math. Soc.31, 71–90 (1928).
C. C. MacDuffee, Modules and ideals in a Frobenius algebra. Monatsh. Math. Phys.48, 293–313 (1939).
H. Poincaré, Sur un mode nouveau de représentation géométrique des formes quadratiques définies ou indéfinies. J. Ec. Pol.47, 177–245 (1880).
H. Poincaré, Sur la représentation des nombres par les formes. Bull. Soc. Math. France13, 162–194 (1885).
A.Châtelet, LeÇons sur la Théorie des Nombres. Paris 1913.
C. G. Latimer andC. C. MacDuffee, A correspondence between classes of ideals and classes of matrices. Ann. of Math., II. Ser.34, 313–316 (1933).
O. Taussky, On a theorem of Latimer and MacDuffee. Canadian J. Math.1, 300–302 (1949).
H. Zassenhaus, Neuer Beweis der Endlichkeit der Klassenzahl bei unimodularer äquivalenz endlicher ganzzahliger Substitutionsgruppen. Abh. Math. Sem. Univ. Hamburg12, 276–288 (1938).
O. Taussky andH. Zassenhaus, On the similarity transformation between a matrix and its transpose. Pacific J. Math.9, 893–896 (1959).
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To R.Baer on his sixtieth birthday
This work was carried out (in part) under a grant of National Science Foundation, Acknowledgement is made to helpful remarks by E. C.Dade.
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Taussky, O. Ideal matrices. I. Arch. Math 13, 275–282 (1962). https://doi.org/10.1007/BF01650074
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DOI: https://doi.org/10.1007/BF01650074