{"id":"W2590052059","doi":"10.1017/s0017089516000513","title":"UNIT-REGULAR MODULES","year":2017,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland; University of Calgary","funders":"Natural Science Foundation of Zhejiang Province; Natural Sciences and Engineering Research Council of Canada; Hangzhou Normal University","keywords":"Mathematics; Unit (ring theory); Regular ring; Element (criminal law); Endomorphism ring; Ring (chemistry); Endomorphism; Extension (predicate logic); Pure mathematics; Context (archaeology); Von Neumann regular ring; Algebra over a field; Discrete mathematics; Computer science; Programming language; Mathematics education","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"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":[0.0007659044,0.0002258929,0.0003175236,0.0008112708,0.0004413066,0.001247037,0.0003987073,0.0002611154,0.00516903],"category_scores_gemma":[0.001124711,0.0001624278,0.0002839329,0.0004636845,0.002315127,0.001840863,0.001754364,0.0006270724,0.0009104771],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004733333,"about_ca_system_score_gemma":0.0002658508,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002463622,"about_ca_topic_score_gemma":0.0001592637,"domain_scores_codex":[0.999342,0.0001601591,0.00003760714,0.0001456596,0.0002020895,0.0001123982],"domain_scores_gemma":[0.9992735,0.0001391114,0.0001120421,0.0001174946,0.0001961906,0.0001616693],"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":[0.00006734908,0.00002064983,0.00123598,0.00007205278,0.00001924592,0.0003255809,0.000799389,0.0004815823,0.004545175,0.9759878,0.001343203,0.01510205],"study_design_scores_gemma":[0.00004267661,0.0001366003,0.003007764,0.00003300234,0.00003984743,0.0009090829,0.0004737879,0.005661172,0.00990446,0.9357073,0.04405598,0.00002821375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.757502,0.001510864,0.106637,0.001323671,0.0002117944,0.00009040001,0.00023657,0.0007265207,0.1317613],"genre_scores_gemma":[0.9822671,0.0002535887,0.005530911,0.0001380659,0.0001443389,0.00001973043,0.00008024769,0.00003699209,0.01152894],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00516903,"threshold_uncertainty_score":0.01729214,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05709412363078308,"score_gpt":0.3112175160691992,"score_spread":0.2541233924384161,"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."}}