{"id":"W2114931984","doi":"10.1016/j.laa.2015.09.024","title":"A theorem of Kaplansky revisited","year":2015,"lang":"en","type":"preprint","venue":"Linear Algebra and its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Unipotent; Fundamental theorem; Simple (philosophy); Division (mathematics); Pure mathematics; Discrete mathematics; Algebra over a field; Fixed-point theorem; Arithmetic; Philosophy","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":[0.001539106,0.0007439733,0.0009495934,0.002049082,0.002647497,0.003684062,0.001042892,0.001452465,0.01251299],"category_scores_gemma":[0.003182207,0.0004659249,0.0009276196,0.001836948,0.005261674,0.0088517,0.003476035,0.004057524,0.001841235],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001686931,"about_ca_system_score_gemma":0.0008529075,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001524808,"about_ca_topic_score_gemma":0.0007336882,"domain_scores_codex":[0.9992248,0.000230257,0.0000365826,0.0002331186,0.0001736989,0.0001015839],"domain_scores_gemma":[0.9991207,0.0003830781,0.00008727608,0.0001496862,0.0001613565,0.00009791829],"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":[0.000007842547,0.000004024527,0.00006404409,0.00001917226,0.000004562266,0.00001521799,0.0001060015,0.00008414519,0.0001205813,0.9958737,0.001774002,0.001926688],"study_design_scores_gemma":[0.000005923532,0.000003484255,0.00006238138,0.000006029555,0.000003617414,0.00003350323,0.00002835991,0.0002714563,0.000083135,0.9921306,0.007367433,0.000004149051],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1299103,0.01750844,0.2853794,0.03750502,0.003043051,0.00006284469,0.001138201,0.0009877279,0.5244651],"genre_scores_gemma":[0.8760129,0.005247011,0.0306592,0.004709019,0.004098673,0.0001126967,0.0003587869,0.0003716794,0.07843009],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01251299,"threshold_uncertainty_score":0.0418601,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05698750349594166,"score_gpt":0.3490811854358221,"score_spread":0.2920936819398804,"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."}}