{"id":"W2070961663","doi":"10.1080/00927872.2013.820737","title":"Lie *-Nilpotence of Group Rings","year":2014,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Government of Jiangsu Province; National Natural Science Foundation of China; University of Alberta","keywords":"Mathematics; Nilpotent; Group ring; Pure mathematics; Lie group; Involution (esoterism); Nilpotent group; Simple Lie group; Group (periodic table); Torsion (gastropod); Algebra over a field; Chemistry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001653326,0.00008751261,0.0001956428,0.0001900577,0.00008599123,0.00001601519,0.001911115,0.00006764695,0.0000829487],"category_scores_gemma":[0.002123438,0.00008903061,0.00004701435,0.000453694,0.0003836642,0.0001019349,0.0007980597,0.0003316777,0.00009110414],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004142904,"about_ca_system_score_gemma":0.00001992296,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000259604,"about_ca_topic_score_gemma":0.00009106006,"domain_scores_codex":[0.9986981,0.000420382,0.0003695817,0.0001330693,0.0001878983,0.0001909805],"domain_scores_gemma":[0.9942233,0.002617751,0.0001147645,0.002916929,0.00008481761,0.00004246216],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000006147504,0.0002035125,0.002116323,0.00004814058,0.000006709021,1.851539e-7,0.0005191668,6.705931e-7,0.0009266291,0.9914114,0.0002289022,0.004532218],"study_design_scores_gemma":[0.0002999548,0.00004882246,0.00553452,0.0001081279,0.000006524658,0.000002688336,0.0001374528,0.001825191,0.0006548309,0.9873293,0.003942463,0.0001101299],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8637835,0.0005604005,0.01156069,0.001932445,0.00006630443,0.0005443226,0.000008043587,0.0001585949,0.1213856],"genre_scores_gemma":[0.9332284,0.0001151745,0.06631923,0.00004871922,0.00001095083,0.0000509136,0.000006576251,0.0000199059,0.0002001037],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1211855,"threshold_uncertainty_score":0.3630563,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1211328086111612,"score_gpt":0.3859343608273026,"score_spread":0.2648015522161414,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}