{"id":"W2040868667","doi":"10.1080/00927870008827120","title":"Group identities on units of locally finite algebras and twisted group algebras","year":2000,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Group (periodic table); Identity (music); Pure mathematics; Group algebra; Polynomial; Algebra over a field; Mathematical analysis","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":[0.00102496,0.000527058,0.000654511,0.0008223064,0.001780558,0.002271296,0.00100091,0.001026243,0.004879942],"category_scores_gemma":[0.00320748,0.0002633184,0.0007383543,0.001060388,0.00343258,0.004726803,0.002334593,0.001480452,0.0008917582],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008408697,"about_ca_system_score_gemma":0.0006508925,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005661014,"about_ca_topic_score_gemma":0.000424738,"domain_scores_codex":[0.9990723,0.0002438606,0.00006082026,0.000140335,0.0002227898,0.0002597366],"domain_scores_gemma":[0.9987606,0.0002558456,0.0002697934,0.0002023199,0.0002291306,0.0002824314],"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":[0.00001370364,0.00001116136,0.0002068162,0.0000172809,0.000003256795,0.0002230512,0.0004901068,0.0004354102,0.001118103,0.9956423,0.0001721325,0.0016668],"study_design_scores_gemma":[0.00001401424,0.00003321704,0.000171943,0.00001150658,0.000007153431,0.0002378417,0.0003744261,0.003818121,0.001741345,0.9916987,0.001882021,0.000009637642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8013818,0.0006254045,0.1320754,0.0008258005,0.0002394207,0.00008800994,0.0001078081,0.0001941017,0.06446219],"genre_scores_gemma":[0.9827144,0.0002366119,0.009815935,0.00009243744,0.0001242268,0.00003992616,0.00008689195,0.00003130698,0.006858322],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004879942,"threshold_uncertainty_score":0.01632506,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07149314255648843,"score_gpt":0.3325620623002723,"score_spread":0.2610689197437839,"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."}}