Erkuş, DENİZ ERDEMİRCİMadran, Ugur2023-06-162023-06-1620150022-40491873-1376https://doi.org/10.1016/j.jpaa.2014.09.010https://hdl.handle.net/20.500.14365/1308In 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. (C) 2014 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessArticle10.1016/j.jpaa.2014.09.0102-s2.0-84920972756