{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006814413,0.000115759,0.0003613982,0.00007595862,0.00006733209,0.00004067802,0.0001214493,0.0000565336,0.00001164137],"category_scores_gemma":[0.0003918301,0.00006893634,0.0001018123,0.00005475658,0.0001650088,0.0001318728,0.00003067827,0.0002305223,6.351564e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000118528,"about_ca_system_score_gemma":0.00001569992,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003553928,"about_ca_topic_score_gemma":6.409092e-7,"domain_scores_codex":[0.9990331,0.00005030991,0.0004136343,0.00009184278,0.00028471,0.0001263972],"domain_scores_gemma":[0.9989458,0.000344726,0.0003943518,0.0001566853,0.00008642616,0.00007199729],"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":[0.000521641,0.0002307203,0.0002239354,0.00008918352,0.0001239146,0.00002364577,0.001878082,0.000008386045,0.005086747,0.976002,0.00162725,0.01418455],"study_design_scores_gemma":[0.001648374,0.0002818347,0.02541626,0.000139964,0.00007005309,0.0003197723,0.0001374347,0.0001290972,0.007973876,0.9637489,0.0000426186,0.00009184116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9966201,0.0007595376,0.0002733807,0.001359268,0.00007089362,0.0000752112,0.000001403339,0.000006698474,0.0008335068],"genre_scores_gemma":[0.9963855,0.0001355438,0.003059227,0.0001485495,0.0001463648,2.973609e-7,1.080357e-7,0.000008476894,0.0001159485],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02519232,"threshold_uncertainty_score":0.2811143,"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."}}