RING FORMS
Keywords:
trilinear alternating form, commutative ring, chain ringAbstract
Determinant on a commutative ring of characteristics p can be extended by a linear mapping to provide a trilinear alternating form. We show some basic properties of such forms.
If the underlying ring is a chain-ring, we compute dimensions of radicals of all vectors and thus prove nonequivalence of forms arising from chain-rings with different sizes of ideals. Moreover, in the case p = 2 we show that all three nondegenerate forms on dimension 6 are ring forms.
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Published
2019-02-27
How to Cite
Hora, J. (2019). RING FORMS. Italian Journal of Pure and Applied Mathematics, 41, 628–636. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7078
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Section
Articoli - Forum Editrice
License
Copyright (c) 2019 Jan Hora
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
