{"id":"W4376105370","doi":"10.1112/blms.12850","title":"Affine Noetherian algebras and extensions of the base field II","year":2023,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Noetherian; Mathematics; Field (mathematics); Affine transformation; Prime (order theory); Pure mathematics; Base (topology); Ring (chemistry); Algebra over a field; Finitely-generated abelian group; Combinatorics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005025829,0.000167641,0.0003721375,0.00001032822,0.0002639324,0.00001134442,0.0004807099,0.000155386,0.0008484133],"category_scores_gemma":[0.001350583,0.00008745005,0.0004457146,0.000236735,0.0002622039,0.000009718003,0.0008201934,0.0002283007,0.000009385948],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001279609,"about_ca_system_score_gemma":0.00002545847,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002113323,"about_ca_topic_score_gemma":0.000001507736,"domain_scores_codex":[0.9986612,0.00009203678,0.0004253783,0.0001869347,0.0004075112,0.0002269051],"domain_scores_gemma":[0.9976016,0.001329525,0.0002311645,0.0007088748,0.00007297487,0.00005586317],"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":[0.00001775348,0.0001313508,0.00007519637,0.0004159181,0.00009335096,4.24206e-7,0.001851623,0.000006255722,0.001686658,0.8962905,0.09912182,0.0003090912],"study_design_scores_gemma":[0.000463642,0.00005291362,0.0003459601,0.0001995847,0.00009053083,0.000006224591,0.000360841,0.0003636132,0.007404597,0.9876783,0.002919858,0.000113904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9746806,0.00006260563,0.0002406789,0.02268892,0.0003063749,0.0004824527,0.000009691003,0.00006221166,0.001466433],"genre_scores_gemma":[0.9904376,0.00003165218,0.004673506,0.0006803223,0.00009024334,0.00002068091,4.873069e-7,0.00003459853,0.004030933],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09620196,"threshold_uncertainty_score":0.9289531,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02247810951327778,"score_gpt":0.2599088996497036,"score_spread":0.2374307901364258,"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."}}