{"id":"W7110882245","doi":"10.4995/agt.24202","title":"Simple polynomial equations over (2x2)-matrices","year":2025,"lang":"en","type":"article","venue":"Applied General Topology","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Polynomial; Simple (philosophy); Euclidean geometry; Matrix polynomial; Set (abstract data type); Identity (music); Square-free polynomial; Alternating polynomial","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":[0.0003493971,0.0008643302,0.0005655735,0.0005943083,0.0006582767,0.0009839536,0.0006975101,0.0008591008,0.00900157],"category_scores_gemma":[0.001065717,0.0002490458,0.0006766137,0.0009494288,0.000962136,0.001514628,0.001222102,0.001077308,0.001275723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006460586,"about_ca_system_score_gemma":0.0004578917,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001896095,"about_ca_topic_score_gemma":0.002652425,"domain_scores_codex":[0.9996247,0.00006773247,0.00001339565,0.00007417436,0.0001321577,0.0000878971],"domain_scores_gemma":[0.9997488,0.00007535753,0.00005973319,0.00001970056,0.00005664817,0.00003986217],"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":[0.00006233032,0.00004012058,0.00047589,0.0001361693,0.00002148277,0.000383677,0.0003389739,0.04031608,0.005428874,0.9362845,0.003423414,0.01308859],"study_design_scores_gemma":[0.00006691951,0.0001004634,0.0004404097,0.00001927309,0.00001129014,0.000317413,0.000181004,0.1749175,0.00409706,0.8064441,0.01336101,0.00004348025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4445646,0.0009337565,0.4616911,0.00238318,0.0005039177,0.0001379212,0.0008963126,0.0003153205,0.08857379],"genre_scores_gemma":[0.8955419,0.0006593944,0.05403993,0.0002831949,0.0002749166,0.00008293251,0.0005105756,0.0001373422,0.0484698],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00900157,"threshold_uncertainty_score":0.03011328,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009536382067077478,"score_gpt":0.2706029723466217,"score_spread":0.2610665902795443,"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."}}