{"id":"W2119289089","doi":"10.1016/j.crma.2011.03.014","title":"Essential dimension of simple algebras in positive characteristic","year":2011,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Dimension (graph theory); Integer (computer science); Exponent; Upper and lower bounds; Simple (philosophy); Prime number; Prime (order theory); Mathematical analysis; Philosophy","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004294254,0.0002097182,0.0004701114,0.0001878266,0.00004627425,0.000009304687,0.0002425242,0.0001450404,0.002150714],"category_scores_gemma":[0.0002626099,0.0001960394,0.00009335118,0.0002581942,0.0001107046,0.0001300547,0.0001423714,0.0002355698,0.0001158478],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003319414,"about_ca_system_score_gemma":0.00003196992,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006266396,"about_ca_topic_score_gemma":0.000009906128,"domain_scores_codex":[0.9985263,0.0002037478,0.0005709307,0.0002443757,0.0001801934,0.0002744592],"domain_scores_gemma":[0.9986775,0.0004754098,0.0003015373,0.0003935647,0.00007788787,0.00007413602],"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":[0.0005233359,0.002503126,0.0238624,0.001002468,0.0002542642,0.0002330172,0.02159124,0.000001982268,0.03313368,0.910157,0.004629953,0.002107506],"study_design_scores_gemma":[0.0007267021,0.0001772355,0.08756246,0.0003372477,0.00006034007,0.00005706733,0.0005812046,0.0002738728,0.1196368,0.7901428,0.00004133647,0.0004029264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9917452,0.00007341171,0.001966522,0.00002147509,0.0001271949,0.0002586179,0.00002299198,0.00009495435,0.005689654],"genre_scores_gemma":[0.9950067,0.00001688234,0.004709307,0.00004195971,0.0000360153,0.00001849921,0.00002568058,0.00003103496,0.0001138586],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1200142,"threshold_uncertainty_score":0.9987615,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03053583167192153,"score_gpt":0.2758261260527092,"score_spread":0.2452902943807876,"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."}}