{"id":"W2087543767","doi":"10.1016/j.jpaa.2006.10.001","title":"Dualisability versus residual character: A theorem and a counterexample","year":2006,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Counterexample; Mathematics; Variety (cybernetics); Congruence (geometry); Residual; Character (mathematics); Algebra over a field; Pure mathematics; Discrete mathematics; Algorithm; Geometry","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":[0.004377357,0.0007570974,0.001587485,0.001566781,0.00388216,0.006345388,0.002723631,0.004621257,0.01195511],"category_scores_gemma":[0.01648824,0.001074224,0.00295681,0.001984091,0.01413594,0.01994505,0.01088643,0.008851496,0.001541329],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001486809,"about_ca_system_score_gemma":0.001304413,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001261881,"about_ca_topic_score_gemma":0.0004786494,"domain_scores_codex":[0.9958385,0.0009938085,0.0003566676,0.001153216,0.0007588452,0.0008990102],"domain_scores_gemma":[0.9834636,0.01142707,0.0004717602,0.002479114,0.00141735,0.0007410644],"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":[0.0000602638,0.00003154183,0.000197346,0.00003379139,0.000006772543,0.000184479,0.0003557971,0.0001422203,0.0004276363,0.9950815,0.001414042,0.002064509],"study_design_scores_gemma":[0.00006900655,0.00002423451,0.0001072616,0.00002098162,0.00002262656,0.0004605408,0.0002738048,0.001525468,0.001145386,0.9916393,0.004692895,0.000018446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2861542,0.001305764,0.3494312,0.04020814,0.0017198,0.0003289085,0.0006590248,0.001960774,0.3182321],"genre_scores_gemma":[0.9543909,0.000639355,0.0264219,0.002206811,0.0006064695,0.0001654518,0.0003094787,0.0003193544,0.01494029],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01195511,"threshold_uncertainty_score":0.03999382,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01444975239345286,"score_gpt":0.2368000373742196,"score_spread":0.2223502849807668,"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."}}