Generating a Noetherian Normalization of the Invariant Ring ...
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We improve Kemper's algorithm for the computation of a noetherian normalization of the invariant ring of a finite group. The new algorithm, which still ...
Two algorithms to compute the invariant ring are implemented in SINGULAR, invariant_ring and invariant_ring_random , both by Agnes E. Heydtmann ( agnes@math.uni ...
Two algorithms to compute the invariant ring are implemented in SINGULAR, invariant_ring and invariant_ring_random , both by Agnes E. Heydtmann ( agnes@math.uni ...
May 26, 2006 · Emmy Noether proved ([25]) that the invariant ring AG is finitely generated, if. G is a finite group and R = F is an arbitrary field. This ...
The Noether Number β(G, V ) is the highest degree of an element of a mini- mal homogeneous generating set for F[V ]G.
We shall prove the fundamental results of Hilbert and Noether for invariant subrings of finite subgroups of the general linear groups in the non-modular case, ...
THEOREM A.3.1 (Noether Normalization Theorem): Let A be a finitely generated commutative graded connected algebra over a field ¥. Then A has a system of ...
May 3, 2018 · If A and B are commutative rings, a homomorphism φ:A→B is called finite if B is a finitely generated A-module (where A acts on B via φ).
An algorithm is presented which calculates rings of polynomial invariants of finite linear groups over an arbitrary field K. Up to now, such algorithms have ...
... Generating a Noetherian Normalization of the Invariant Ring of a Finite Group" by Decker, Heydtmann, Schreyer (1998)). Example: LIB "finvar.lib"; ring R=3 ...