{"id":"W2019270111","doi":"10.1016/j.jalgebra.2009.03.020","title":"On (semi)regularity and the total of rings and modules","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Ring (chemistry); Jacobson radical; Ideal (ethics); Maximal ideal; Context (archaeology); Pure mathematics; Continuation; Discrete mathematics; Combinatorics; Computer science; Epistemology","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004387802,0.000574188,0.001132622,0.002677629,0.001737156,0.003042746,0.001291352,0.0009736255,0.003946231],"category_scores_gemma":[0.007312654,0.0006821869,0.001293113,0.00164355,0.008154054,0.01350633,0.004433174,0.002583997,0.0003302059],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001110965,"about_ca_system_score_gemma":0.0005336076,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008415358,"about_ca_topic_score_gemma":0.0009781907,"domain_scores_codex":[0.998221,0.0007200238,0.0001479138,0.0003600042,0.0003676894,0.0001833965],"domain_scores_gemma":[0.9926565,0.003760962,0.0008064657,0.001008174,0.001031994,0.0007358278],"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":[0.00002157502,0.000008150769,0.0002748261,0.00001505247,0.000007425409,0.00001370321,0.0001430812,0.0002068126,0.0001312918,0.9973252,0.0002185174,0.00163439],"study_design_scores_gemma":[0.000007609643,0.00002198838,0.0003887426,0.000007391967,0.000009233519,0.00005651397,0.00008106809,0.001121136,0.000150743,0.9965045,0.001643872,0.000007150615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5858009,0.006089773,0.2561717,0.006713671,0.0004909125,0.00005672931,0.0006444593,0.0002241294,0.1438077],"genre_scores_gemma":[0.9693182,0.001590957,0.0156099,0.0004073982,0.0006824015,0.00004580175,0.0003044795,0.00009863926,0.01194211],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004387802,"threshold_uncertainty_score":0.02320516,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01515280555173809,"score_gpt":0.2530602233751177,"score_spread":0.2379074178233796,"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."}}