{"id":"W2090274590","doi":"10.1016/j.laa.2012.01.006","title":"On p.p. structural matrix rings","year":2012,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; China Scholarship Council","keywords":"Mathematics; Von Neumann regular ring; Ring (chemistry); Primitive ring; Principal ideal ring; Ideal (ethics); Pure mathematics; Matrix ring; Matrix (chemical analysis); Simple ring; Von Neumann architecture; Combinatorics; Commutative ring; Invertible matrix","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000114382,0.0001503856,0.0001569719,0.00005775987,0.0002180093,0.00003100971,0.000130913,0.00007429636,0.0001580188],"category_scores_gemma":[0.00006717232,0.0001268335,0.00004919012,0.0001251526,0.00003647699,0.0001573071,0.00005201478,0.0001462557,0.0003058756],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001469093,"about_ca_system_score_gemma":0.000009402038,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003650566,"about_ca_topic_score_gemma":0.000001233868,"domain_scores_codex":[0.9991566,0.00001503412,0.000206229,0.0001987216,0.0001413487,0.0002820905],"domain_scores_gemma":[0.9992655,0.0001790628,0.00007964702,0.0002788061,0.00003925411,0.0001577465],"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":[0.00000396806,0.00005341125,0.0003796066,0.00004439368,0.00001578663,1.285269e-7,0.0002771308,8.099522e-7,0.0005788917,0.9958088,0.00111945,0.001717602],"study_design_scores_gemma":[0.0008747246,0.00009203421,0.01057715,0.00005308706,0.0001368162,0.00005126866,0.0002207264,0.001520273,0.01285187,0.8827833,0.09004726,0.0007914727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9925668,0.0006495112,0.002360843,0.0003630564,0.00008302352,0.0004390364,0.00002128413,0.0001617574,0.003354743],"genre_scores_gemma":[0.9923465,0.00005139323,0.004762773,0.0001892594,0.0006016516,0.0001052823,0.00001442057,0.00003160184,0.001897073],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1130255,"threshold_uncertainty_score":0.5172119,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0263808833167692,"score_gpt":0.3085458540397929,"score_spread":0.2821649707230237,"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."}}