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Results tagged with computational-number-theory
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user 489371
Computational Number Theory is for explicit calculations or algorithms involving anything of interest to number theorists.
4
votes
1
answer
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Find $\mathbb{Z}$-basis of module over Dedekind domain provided its pseudobasis
Let $K$ be number field of degree $d$. Suppose we are given module $
\mathcal{M}$ in form:
\begin{equation}\label{key}
\mathcal{M} = v_1 \cdot \mathfrak{a}_1 \oplus v_2 \cdot \mathfrak{a}_2 \o …
CommunityBot
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Find $\mathbb{Z}$-basis of module over Dedekind domain provided its pseudobasis
Let $\mathcal{M} = \sum_{i=1}^{m} \mathfrak{b}_i \cdot b_i$ be a module. It is represented via pseudobasis therefore it is projective and has a Z-basis (subsect. 2.3 in https://perso.ens-lyon.fr/damie …
