{"id":"W2220261572","doi":"10.1007/978-0-387-21690-4_15","title":"The Fundamental Theorem of Abelian Extensions","year":2001,"lang":"en","type":"book-chapter","venue":"Universitext","topic":"semigroups and automata theory","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Abelian group; Mathematics; Section (typography); Extension (predicate logic); Pure mathematics; Field (mathematics); Abelian extension; Discrete mathematics; Computer science","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0001415626,0.0001852694,0.0001856959,0.0001270912,0.0002828804,0.00005406376,0.001273497,0.0001229505,0.0003888088],"category_scores_gemma":[0.000004575331,0.000137161,0.0001727951,0.00006516252,0.0002599318,0.0001479572,0.00051212,0.0001869659,0.0002555932],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006270687,"about_ca_system_score_gemma":0.00005755438,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000102522,"about_ca_topic_score_gemma":0.00000674742,"domain_scores_codex":[0.9991051,0.00001908673,0.0001553264,0.0002831481,0.000243104,0.0001942185],"domain_scores_gemma":[0.9986737,0.0001928339,0.0001811936,0.0008106027,0.00007045599,0.00007124908],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000004916662,0.000007141881,0.000001964644,0.000002907906,0.00003752578,0.00005202212,0.0001737105,0.000002277904,0.00004102787,0.9440645,0.006006257,0.04960577],"study_design_scores_gemma":[0.0001541917,0.00005226616,0.00002066735,0.0000906068,0.0000232319,0.00002462039,0.0001485248,0.0004951114,0.00003058289,0.1109324,0.8878405,0.0001873179],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.000119473,0.0008886121,0.004541035,0.0004512907,0.0003535523,0.0001164579,0.00002034176,0.00009323983,0.993416],"genre_scores_gemma":[0.02168319,0.00108656,0.0009596059,0.0002834372,0.00007963615,3.358505e-7,0.00001159302,0.0000259404,0.9758697],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.8818343,"threshold_uncertainty_score":0.5593265,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01011669132933347,"score_gpt":0.1868905009920641,"score_spread":0.1767738096627307,"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."}}