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},
year = {2003},
publisher = {Universit\'e Bordeaux I},
volume = {15},
number = {1},
mrnumber = {2019004},
zbl = {1048.11027},
language = {en},
url = {https://www.numdam.org/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. https://www.numdam.org/item/JTNB_2003__15_1_115_0/
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