{"id":"W4229496209","doi":"10.1017/cbo9780511791260.009","title":"Dedekind Domains","year":2003,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Dedekind cut; Mathematics; Pure mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003950523,0.0006812065,0.0005737924,0.001143326,0.0007060213,0.00255475,0.0005781603,0.0004997898,0.02471008],"category_scores_gemma":[0.0008943059,0.0003793055,0.0002448185,0.001174864,0.001450062,0.004099296,0.001112522,0.002174954,0.006990497],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009544143,"about_ca_system_score_gemma":0.0005825224,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006665124,"about_ca_topic_score_gemma":0.000795946,"domain_scores_codex":[0.9997868,0.00004340124,0.00001248474,0.00005559452,0.00008305281,0.00001860392],"domain_scores_gemma":[0.9998047,0.00007084944,0.00001147028,0.00004989684,0.00004669407,0.00001638102],"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":[0.000006978613,0.000009246261,0.00006096629,0.00005692962,0.000003218468,0.00002112802,0.0002062953,0.0001073715,0.0003234465,0.955882,0.01763804,0.02568448],"study_design_scores_gemma":[0.000007932434,0.000008052619,0.0003169373,0.00004607451,0.000004484745,0.0001900952,0.0001163135,0.0002602182,0.0004064884,0.6525158,0.3461221,0.000005388037],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.006745858,0.03279558,0.02772695,0.002522326,0.0004769834,0.000023904,0.0007308617,0.0003233565,0.9286541],"genre_scores_gemma":[0.2492573,0.03338722,0.02477127,0.0012521,0.001118727,0.0001187513,0.00192665,0.0002939301,0.687874],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.02471008,"threshold_uncertainty_score":0.08266348,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0375734441766418,"score_gpt":0.2216070507578821,"score_spread":0.1840336065812403,"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."}}