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Results tagged with algebraic-number-theory
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user 333858
Algebraic number fields, Algebraic integers, Arithmetic Geometry, Elliptic Curves, Function fields, Local fields, Arithmetic groups, Automorphic forms, zeta functions, $L$-functions, Quadratic forms, Quaternion algebras, Homogenous forms, Class groups, Units, Galois theory, Group cohomology, Étale cohomology, Motives, Class field theory, Iwasawa theory, Modular curves, Shimura varieties, Jacobian varieties, Moduli spaces
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Existence of non-zero pseudo-null submodules
The `$\Rightarrow$'-part is not true anymore if $d > 1$. To give a counterexample, consider the maximal ideal $\mathfrak{m} = (p, T_1, \dots, T_d)$ of $\Lambda_d$. Clearly, $\mathfrak{m}^\circ = 0$ si …
