{"id":"W3110854812","doi":"10.1142/s0219498822500608","title":"Generalized fine rings","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Ring (chemistry); Nilpotent; Simple ring; Unit (ring theory); Von Neumann regular ring; Matrix ring; Pure mathematics; Simple (philosophy); Noncommutative ring; Generalization; Element (criminal law); Primitive ring; Matrix (chemical analysis); Combinatorics; Principal ideal ring; Mathematical analysis; Commutative ring; Chemistry; Law","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":[0.0001437024,0.00009956637,0.0002390519,0.00005170297,0.00009471743,0.00004052449,0.0001690221,0.00004326611,0.00010072],"category_scores_gemma":[0.0001682662,0.00008028134,0.00008652983,0.0001463898,0.00002687916,0.0001467088,0.00003996135,0.0001600589,0.00002291721],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009734148,"about_ca_system_score_gemma":0.00003192647,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.184046e-7,"about_ca_topic_score_gemma":8.896791e-7,"domain_scores_codex":[0.9991807,0.0000170387,0.0004056324,0.000114076,0.00016432,0.0001181778],"domain_scores_gemma":[0.9991342,0.000133296,0.000302859,0.0001036734,0.0001391586,0.0001868216],"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":[0.00003205886,0.0001452793,0.0002743547,0.0001371012,0.0001029749,0.000005988153,0.001080144,0.000004819992,0.01394481,0.9502176,0.02741178,0.00664309],"study_design_scores_gemma":[0.002611516,0.00045436,0.002202516,0.00009733382,0.0003117971,0.0002566685,0.0003179493,0.0007731491,0.01802897,0.6215503,0.3529012,0.000494252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9724812,0.001326355,0.01130205,0.01360785,0.00004245049,0.0002391915,0.000006950913,0.00003747481,0.0009564626],"genre_scores_gemma":[0.9784541,0.000423212,0.0189925,0.0009240496,0.0008809892,0.00001833727,0.000001720255,0.00002682056,0.0002783182],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3286673,"threshold_uncertainty_score":0.3273778,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04214156071717198,"score_gpt":0.2870075453098949,"score_spread":0.2448659845927229,"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."}}