{"id":"W4412883120","doi":"10.4153/s0008439525100933","title":"Contramodules for algebraic groups: the existence of mock projectives","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics; Algebraic number; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001071198,0.0002849077,0.000403784,0.001116685,0.001263291,0.001821515,0.0003553239,0.0006663739,0.003470435],"category_scores_gemma":[0.003565988,0.0002309766,0.0004043159,0.000386913,0.002782955,0.00284723,0.003042279,0.0011758,0.0003482905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005945406,"about_ca_system_score_gemma":0.0002976907,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000177382,"about_ca_topic_score_gemma":0.0001935073,"domain_scores_codex":[0.9991074,0.0002295175,0.00006347103,0.0002330561,0.0002323087,0.0001342321],"domain_scores_gemma":[0.9975068,0.000812703,0.000419378,0.0003651035,0.0003927597,0.0005032003],"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":[0.00003204863,0.00001862622,0.0017052,0.00002976512,0.000006617199,0.0002315164,0.0004027942,0.0003410785,0.00293622,0.990659,0.0002530537,0.003384168],"study_design_scores_gemma":[0.00002808195,0.0001147334,0.004120478,0.00003059728,0.00001762585,0.001256326,0.0005918376,0.005316862,0.0076334,0.965862,0.0149936,0.00003454814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8540244,0.0007061003,0.08319971,0.0009810779,0.0001162626,0.00006864476,0.0001614946,0.0001738996,0.06056844],"genre_scores_gemma":[0.9903167,0.0001004658,0.006781886,0.00006793757,0.00005251422,0.0000285651,0.0000938853,0.00001266304,0.002545346],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003470435,"threshold_uncertainty_score":0.01160973,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02571091602208853,"score_gpt":0.2964135762748928,"score_spread":0.2707026602528043,"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."}}