{"id":"W2090312830","doi":"10.1016/j.laa.2010.06.004","title":"A characterization of von Neumann regular rings and applications","year":2010,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Von Neumann architecture; Von Neumann regular ring; Characterization (materials science); Simple (philosophy); Pure mathematics; Multiplication (music); Algebra over a field; Combinatorics; Ring (chemistry); Physics; Chemistry","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":[0.0001429616,0.0001421746,0.0002026894,0.00008963094,0.0001963879,0.00003416268,0.0001393834,0.0001115239,0.00003179337],"category_scores_gemma":[0.00004303786,0.0001379332,0.00003640731,0.0001988106,0.000107875,0.0001519684,0.00006930995,0.0001713448,0.00001587331],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004149043,"about_ca_system_score_gemma":0.00001933548,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004519357,"about_ca_topic_score_gemma":0.00000847428,"domain_scores_codex":[0.999092,0.00001241497,0.0003205411,0.0003028294,0.0001208687,0.000151324],"domain_scores_gemma":[0.9991094,0.00009082867,0.0001882238,0.000381463,0.0001250754,0.0001049629],"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":[0.000002941269,0.00009932446,0.0003466262,0.0001372183,0.00001568435,8.313507e-8,0.0002112103,9.781227e-8,0.3294031,0.663389,0.00003198382,0.006362743],"study_design_scores_gemma":[0.001235977,0.0001166137,0.03495704,0.00009553043,0.0002979726,0.00006780587,0.0002361816,0.002832797,0.2303035,0.4943816,0.2345026,0.0009723786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9762983,0.00009554285,0.02147084,0.000400501,0.00002847628,0.0008972759,0.00004843747,0.00009914287,0.0006614946],"genre_scores_gemma":[0.9928188,0.0002557998,0.005083082,0.00008703145,0.0003647759,0.0005866031,0.00008593857,0.0000379288,0.0006800368],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2344706,"threshold_uncertainty_score":0.5624753,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01488721537620257,"score_gpt":0.2568578648425783,"score_spread":0.2419706494663757,"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."}}