On generalized invariants of cyclic groups

• Deniz Erdemirci Erkuş ^[1] ; Uğur Madran ^[1]
  1. [1] İzmir University of Economics

     İzmir University of Economics

     Turquía

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 6 (June 2015), 2015, págs. 2463-2470
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.09.010
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• Resumen

  • In this paper, we extend the definition of generalized invariants for any finite group. Further, we describe the structure of generalized invariants of a cyclic group for lower dimensional indecomposable representations in the modular case, where the characteristic of the ground field divides the group order. Finally, an analog of a conjecture about Hilbert ideals associated with invariant rings has been proven for the case of generalized invariants.