{"id":"W2013541833","doi":"10.1016/j.jalgebra.2004.08.012","title":"Hypercentral units in alternative loop rings","year":2004,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Mathematics and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Brock University; Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Loop (graph theory); Pure mathematics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002812683,0.00007873344,0.0001953619,0.0001075813,0.00002610661,0.00002277687,0.0001949102,0.00003384515,0.00006097044],"category_scores_gemma":[0.0002191006,0.00006264845,0.00005339262,0.0002118248,0.00002344843,0.0001052887,0.00002419241,0.0001996479,0.00001639871],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007724501,"about_ca_system_score_gemma":0.0000793872,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009131789,"about_ca_topic_score_gemma":0.00001072513,"domain_scores_codex":[0.9991599,0.000014235,0.0004232769,0.0000590406,0.0002064901,0.0001370392],"domain_scores_gemma":[0.9992685,0.0001076045,0.0002943896,0.000114836,0.0001423474,0.00007237258],"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":[0.00003108078,0.0009846388,0.000805888,0.0001292093,0.0001156461,0.0001436295,0.007444996,0.0003514379,0.003543674,0.9792443,0.005706726,0.001498795],"study_design_scores_gemma":[0.001417098,0.00009180021,0.0008543996,0.0002780298,0.00003275671,0.0001950294,0.0005493018,0.000116443,0.005853234,0.9892113,0.001270241,0.0001303901],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9930691,0.00003810272,0.004037799,0.0007965018,0.000063976,0.00008534145,0.000001742351,0.000006822498,0.001900685],"genre_scores_gemma":[0.9770871,0.00003938255,0.02249776,0.00008121372,0.0001178067,0.000002212593,2.91493e-7,0.00001382536,0.0001604586],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01845996,"threshold_uncertainty_score":0.255473,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06065445400577187,"score_gpt":0.318257291873041,"score_spread":0.2576028378672692,"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."}}