{"id":"W2922424827","doi":"10.4153/s0008439519000092","title":"Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Gebze Teknik Üniversitesi","keywords":"Mathematics; Jacobson radical; Group ring; Element (criminal law); Nilpotent; Ring (chemistry); Abelian group; Pure mathematics; Group (periodic table); Von Neumann regular ring; Context (archaeology); Discrete mathematics; Combinatorics; Algebra over a field; Chemistry; Law","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009529681,0.0002181114,0.0003039591,0.0009301096,0.0008933783,0.001603572,0.0003878039,0.0002338184,0.005185234],"category_scores_gemma":[0.001022822,0.0001748989,0.0004494131,0.0004520433,0.001795251,0.002800282,0.001647029,0.0007398306,0.0006527556],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000345284,"about_ca_system_score_gemma":0.0002962623,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001351259,"about_ca_topic_score_gemma":0.0001931452,"domain_scores_codex":[0.9992179,0.0001743774,0.00007056907,0.0001706968,0.0002534511,0.0001130124],"domain_scores_gemma":[0.9987717,0.000272575,0.000300558,0.0001683857,0.0002745824,0.0002122254],"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":[0.0002056116,0.00003725839,0.001249511,0.0001164363,0.00004512645,0.0004802005,0.0007155504,0.0006143957,0.01811755,0.9638267,0.001047231,0.01354443],"study_design_scores_gemma":[0.00004528472,0.000388572,0.004044074,0.00006204982,0.0001122977,0.003071362,0.001086906,0.003993745,0.04364979,0.8842912,0.05916651,0.00008823627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7887217,0.001789587,0.1115155,0.0007707636,0.0004176168,0.00006910994,0.0003111618,0.0002203875,0.09618408],"genre_scores_gemma":[0.9734383,0.0004959899,0.01485267,0.0001467068,0.0003057973,0.00002863797,0.0001530245,0.00002929254,0.01054955],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005185234,"threshold_uncertainty_score":0.01734638,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02224867910168723,"score_gpt":0.2483295874212047,"score_spread":0.2260809083195175,"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."}}