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Revision difference : fundamental units
Version 2 Version 1
The ring $R$ of algebraic integers of any algebraic number field contains a finite set of so-called {\em fundamental units} such, that every unit of $R$ is a power product of them, multiplied by a root of unity: The ring $R$ of algebraic integers of any algebraic number field contains a finite set of so-called {\em fundamental units} such, that every unit of $R$ is a power product of them, multiplied by a root of unity:
$$\epsilon = \zeta\\eta_1^{k_1}\eta_2^{k_2}...\eta_t^{k_t}$$ $$\epsilon = \zeta\mdot\eta_1^{k_1}\eta_2^{k_2}...\eta_t^{k_t}$$