{"id":"W2028610622","doi":"10.1016/j.laa.2014.09.002","title":"Nonlinear maps preserving the minimum and surjectivity moduli","year":2014,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Moduli; Nonlinear system; Pure mathematics; Combinatorics; Algebra over a field","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008354588,0.0006695205,0.000822658,0.002034542,0.001623661,0.003654861,0.0007520177,0.001071703,0.005782149],"category_scores_gemma":[0.002763003,0.0004464477,0.0006343044,0.000655067,0.002410271,0.008241487,0.002862834,0.0037691,0.0007627975],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001100612,"about_ca_system_score_gemma":0.0006151347,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004456864,"about_ca_topic_score_gemma":0.0004208158,"domain_scores_codex":[0.9995078,0.00007421117,0.00002927412,0.0001316715,0.0001634527,0.0000935239],"domain_scores_gemma":[0.9988222,0.0003141684,0.0002082111,0.0001565361,0.0002333348,0.0002654498],"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":[0.00003896456,0.00002021929,0.0001541888,0.00002466175,0.000007318475,0.0000706303,0.000160219,0.0003124563,0.00308791,0.9909781,0.0002895707,0.004855663],"study_design_scores_gemma":[0.00001489202,0.00003601246,0.0004735617,0.00001559248,0.000009794308,0.0002649056,0.0001674653,0.004267841,0.003506961,0.988993,0.002234463,0.00001551696],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6403443,0.0009701795,0.1873947,0.002687481,0.0004345303,0.00007134391,0.0003368586,0.0003164909,0.1674441],"genre_scores_gemma":[0.9515662,0.0006252828,0.01426829,0.000215444,0.0004124177,0.00005758751,0.0002076553,0.0001928904,0.03245416],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005782149,"threshold_uncertainty_score":0.01934326,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02957644308690557,"score_gpt":0.3034703774029374,"score_spread":0.2738939343160318,"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."}}