{"id":"W2016130162","doi":"10.1081/agb-120014672","title":"A SIMPLE EXAMPLE OF A NON-FINITELY BASED SYSTEM OF POLYNOMIAL IDENTITIES","year":2002,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Simple (philosophy); Polynomial; Finitely-generated abelian group; Associative property; Field (mathematics); Prime (order theory); Pure mathematics; Algebra over a field; Discrete mathematics; Combinatorics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000390799,0.0001457957,0.0004137826,0.0003008015,0.00008772692,0.00001292927,0.001342771,0.00009712302,0.0001749059],"category_scores_gemma":[0.000531451,0.000161456,0.0001059428,0.0005078702,0.0003361463,0.00013726,0.000399726,0.0002291858,0.00001800993],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001063213,"about_ca_system_score_gemma":0.00003818195,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001376778,"about_ca_topic_score_gemma":0.0001356429,"domain_scores_codex":[0.9983987,0.0001787119,0.0008378389,0.0001666297,0.0002197056,0.0001984204],"domain_scores_gemma":[0.9948033,0.001702261,0.0004251459,0.002890261,0.0001392079,0.00003981102],"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":[0.00001966651,0.0008593949,0.004700825,0.0008304946,0.00006226895,0.000002850866,0.003203506,0.00004511223,0.001395542,0.9845503,0.002352899,0.001977141],"study_design_scores_gemma":[0.00779331,0.0004238647,0.009040856,0.002310732,0.0002832986,0.00003484378,0.007135288,0.09070179,0.03761775,0.8330764,0.01006356,0.00151831],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9139441,0.001622766,0.03850664,0.0003323116,0.0002221453,0.001237386,0.0001209167,0.000224546,0.04378922],"genre_scores_gemma":[0.903019,0.00005538649,0.09658882,0.00002172211,0.00001730523,0.00007896334,0.00001251761,0.00002961976,0.0001767042],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1514739,"threshold_uncertainty_score":0.6583985,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1173378995816104,"score_gpt":0.3445671651045746,"score_spread":0.2272292655229642,"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."}}