{"id":"W2233187436","doi":"10.1090/tran/6472","title":"ℤ-graded simple rings","year":2015,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Simple (philosophy); Pure mathematics; Algebra over a field; Calculus (dental); Orthodontics","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":[0.0004228612,0.0001860515,0.0004692418,0.00002046315,0.00014855,0.00002214836,0.0004633,0.00004898538,0.0001209814],"category_scores_gemma":[0.0001924187,0.0001264584,0.0005888975,0.0004284718,0.0007343945,0.00009902896,0.00003001888,0.0002528798,0.00003687676],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000751725,"about_ca_system_score_gemma":0.0000636633,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007170621,"about_ca_topic_score_gemma":0.000005113288,"domain_scores_codex":[0.9985454,0.00006806939,0.000422333,0.0002017266,0.0004637134,0.0002987348],"domain_scores_gemma":[0.9984275,0.0003875628,0.0002871896,0.0006426197,0.00009538253,0.0001597291],"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":[0.0003205298,0.009947188,0.003152221,0.003456444,0.00363611,0.000006927381,0.08690391,0.001015971,0.02146508,0.7190424,0.1206975,0.03035578],"study_design_scores_gemma":[0.0005161696,0.0001140557,0.0003907382,0.00005596779,0.0002134221,0.0000205891,0.004724141,0.001644044,0.008238988,0.983,0.0008180749,0.0002637611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8024753,0.00001776971,0.1937669,0.001015251,0.00007199716,0.0002907832,0.00001231827,0.0001590961,0.002190628],"genre_scores_gemma":[0.947558,0.000009934333,0.05136612,0.000200802,0.00004703201,0.00002477781,5.389302e-7,0.00003745267,0.0007553337],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2639577,"threshold_uncertainty_score":0.5156824,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0491608821024462,"score_gpt":0.3022407473330931,"score_spread":0.2530798652306469,"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."}}