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We give several examples of classes of trace forms for which the ideal of annihilating polynomials is principal. We prove, that in general, the annihilating ideal is not a principal ideal.
Nous donnons plusieurs exemples de familles de formes trace dont l’idéal annulateur dans est principal. Nous montrons aussi qu’en général, cet idéal n’est pas principal.
@article{JTNB_2003__15_1_115_0, author = {Epkenhans, Martin}, title = {On the annihilating ideal for trace forms}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {115--124}, publisher = {Universit\'e Bordeaux I}, volume = {15}, number = {1}, year = {2003}, mrnumber = {2019004}, zbl = {1048.11027}, language = {en}, url = {http://geodesic.mathdoc.fr/item/JTNB_2003__15_1_115_0/} }
Epkenhans, Martin. On the annihilating ideal for trace forms. Journal de théorie des nombres de Bordeaux, Tome 15 (2003) no. 1, pp. 115-124. http://geodesic.mathdoc.fr/item/JTNB_2003__15_1_115_0/