{"id":"W2810496905","doi":"10.1080/03081087.2018.1534935","title":"Special identities for comtrans algebras","year":2018,"lang":"en","type":"preprint","venue":"Linear and Multilinear Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; Damietta University","keywords":"Commutator; Noncommutative geometry; Mathematics; Degree (music); Pure mathematics; Dimension (graph theory); Algebra over a field; Basis (linear algebra); Polynomial; Gröbner basis; Conjecture; Representation theory; Multilinear map; Associative property; Geometry; Mathematical analysis","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":[0.0009748478,0.00063449,0.0006192423,0.00158677,0.002673832,0.003160724,0.000874226,0.0008591294,0.008494893],"category_scores_gemma":[0.001688688,0.000369979,0.001015695,0.0009799938,0.002746403,0.005485239,0.003265515,0.001855927,0.001648966],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001121662,"about_ca_system_score_gemma":0.0006474921,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005855943,"about_ca_topic_score_gemma":0.0006658235,"domain_scores_codex":[0.9983873,0.0002455251,0.0001287022,0.0002794972,0.0006344776,0.0003244689],"domain_scores_gemma":[0.998983,0.0001428303,0.0001770591,0.0001995072,0.0002854274,0.0002121082],"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":[0.00001017533,0.00001905145,0.0001782886,0.00001841098,0.000002659337,0.000110526,0.0002095044,0.0002751174,0.001307921,0.9941977,0.0005539882,0.00311653],"study_design_scores_gemma":[0.000009795777,0.0000288619,0.0002729581,0.00001314554,0.000006422978,0.0004460559,0.0002791602,0.005663674,0.004630283,0.9795177,0.009112632,0.00001931199],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5988319,0.0008023632,0.2244111,0.001016986,0.0006835473,0.0001483223,0.000301832,0.0005739275,0.1732301],"genre_scores_gemma":[0.9563888,0.0003293965,0.02283733,0.0003107334,0.000350022,0.00007096224,0.0003231107,0.0001399556,0.01924967],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008494893,"threshold_uncertainty_score":0.02841824,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06495987764509979,"score_gpt":0.3624120622574475,"score_spread":0.2974521846123477,"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."}}