{"id":"W2111063918","doi":"10.1017/s1474748018000191","title":"UNIVERSAL COVERS OF COMMUTATIVE FINITE MORLEY RANK GROUPS","year":2018,"lang":"en","type":"preprint","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Engineering and Physical Sciences Research Council","keywords":"Abelian group; Commutative property; Rank (graph theory); Isomorphism (crystallography); Mathematics; Variety (cybernetics); Cover (algebra); Pure mathematics; Algebra over a field; Combinatorics; Engineering","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002785416,0.0004465508,0.001913911,0.0004312996,0.00009182384,0.00001878179,0.002276783,0.0004041164,0.0001224551],"category_scores_gemma":[0.003343645,0.0003072341,0.001121154,0.0003694109,0.001447999,0.0002730168,0.001159428,0.001076964,0.000004250368],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001255957,"about_ca_system_score_gemma":0.0006354155,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002806762,"about_ca_topic_score_gemma":0.000006633792,"domain_scores_codex":[0.9956452,0.0002716007,0.002448054,0.0001863271,0.001201348,0.0002475331],"domain_scores_gemma":[0.9866339,0.001900465,0.008993368,0.001220017,0.001138864,0.000113408],"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":[0.002131726,0.009418588,0.001006763,0.04233683,0.01463158,0.0001649511,0.0765685,0.02307445,0.006344917,0.7986669,0.02472518,0.0009296371],"study_design_scores_gemma":[0.00201217,0.0003893526,0.00009381058,0.008181008,0.001698831,0.0001265179,0.004282059,0.0005336416,0.02965303,0.9522887,0.0003703633,0.0003704499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9614365,0.0002075441,0.02911167,0.0002979648,0.002289495,0.000513307,0.0001829994,0.00001375757,0.005946792],"genre_scores_gemma":[0.9265664,0.0001288105,0.07269591,0.00002578623,0.0001926972,0.000001829244,0.000003602265,0.00005070542,0.0003342507],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1536219,"threshold_uncertainty_score":0.999938,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03950139964469596,"score_gpt":0.2962717613774462,"score_spread":0.2567703617327503,"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."}}