{"id":"W2021575697","doi":"10.1007/s000120050221","title":"Uniform diagonalisation of matrices over regular rings","year":2001,"lang":"en","type":"article","venue":"Algebra Universalis","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Invertible matrix; Algebra over a field; Field (mathematics); Matrix (chemical analysis); Combinatorics; Pure mathematics; Discrete mathematics","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":[0.0001792851,0.0001640784,0.0002333546,0.0001831519,0.00007016074,0.00001493585,0.000298148,0.0001087155,0.0004779635],"category_scores_gemma":[0.0001965795,0.0001673716,0.0001007795,0.0004246721,0.0001164002,0.0004716245,0.00009803235,0.0001213912,0.00001808521],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001167997,"about_ca_system_score_gemma":0.00003348626,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008920038,"about_ca_topic_score_gemma":0.00004155775,"domain_scores_codex":[0.9988637,0.00003828438,0.0002997505,0.000226468,0.0003363699,0.0002354513],"domain_scores_gemma":[0.9987563,0.0003127451,0.0002745591,0.0004681496,0.0001176099,0.00007067557],"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":[0.0000207759,0.00005982746,0.00350187,0.00005130724,0.00005417376,0.00002590057,0.0005803374,0.000007549566,0.0004052434,0.9927095,0.00101018,0.001573405],"study_design_scores_gemma":[0.000712253,0.00004705312,0.00307419,0.00006425435,0.00008475096,0.00001743328,0.0004641684,0.0001072878,0.005274084,0.9654026,0.02449567,0.0002562433],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9674476,0.0001109122,0.01006532,0.0002650176,0.0001455086,0.0002005523,0.00001471669,0.0001528948,0.02159746],"genre_scores_gemma":[0.974255,0.0002447269,0.02209717,0.00009797249,0.0001352078,0.000004037249,0.00002152799,0.0000483461,0.003095966],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02730682,"threshold_uncertainty_score":0.6825215,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02577936736294722,"score_gpt":0.2849379078997298,"score_spread":0.2591585405367826,"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."}}