{"id":"W1976656516","doi":"10.1006/jabr.1999.8203","title":"Group Identities on Units of Group Algebras","year":2000,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Modulo; Torsion (gastropod); Group (periodic table); Nilpotent; Pure mathematics; Algebra over a field; Nilpotent group; Group algebra; Element (criminal law); Combinatorics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002044967,0.0007069198,0.001111819,0.002767796,0.003351111,0.005090497,0.001543542,0.00170129,0.007146469],"category_scores_gemma":[0.004206538,0.000821139,0.0009018148,0.002068731,0.005696825,0.009199547,0.003291421,0.002959046,0.001288389],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001579077,"about_ca_system_score_gemma":0.001003926,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001221675,"about_ca_topic_score_gemma":0.001082005,"domain_scores_codex":[0.9982644,0.000618842,0.0001327734,0.0002295135,0.0004578398,0.0002966768],"domain_scores_gemma":[0.9977169,0.0007752154,0.0003183053,0.0003431171,0.0004177141,0.0004287684],"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":[0.000007945296,0.00001223969,0.00006299033,0.000006924447,0.000002337778,0.00003091916,0.0003327491,0.00008164399,0.0001720736,0.9977775,0.0003069861,0.001205652],"study_design_scores_gemma":[0.000007244511,0.000007204661,0.00006668069,0.000004191426,0.000002052046,0.00002761626,0.00009808299,0.000443562,0.0001144004,0.9980295,0.001195512,0.000003825574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5324985,0.002702225,0.1845637,0.004144131,0.001580925,0.0002098729,0.0003692764,0.0004085603,0.2735229],"genre_scores_gemma":[0.9438083,0.0009959853,0.02244614,0.0005919978,0.0009252978,0.0001599722,0.0002793818,0.0001424685,0.03065055],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007146469,"threshold_uncertainty_score":0.02390736,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06168543253089692,"score_gpt":0.3200207019139303,"score_spread":0.2583352693830334,"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."}}