{"id":"W2185337205","doi":"10.70930/tac/jrze6xte","title":"Congruences of Morita equivalent small categories","year":2012,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Eesti Teadusfondi","keywords":"Morita therapy; Morita equivalence; Congruence relation; Mathematics; Congruence (geometry); Functor; Pure mathematics; Equivalence (formal languages); Equivalence of categories; Adjoint functors; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007759333,0.0001348267,0.0002810802,0.00006587027,0.0001144919,0.00001375462,0.0002114862,0.00005870958,0.00005462217],"category_scores_gemma":[0.0001229152,0.0001122055,0.00005245348,0.0001409219,0.000681887,0.0001730511,0.00007527255,0.00007004394,0.000005406423],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007001883,"about_ca_system_score_gemma":0.0000302565,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003295824,"about_ca_topic_score_gemma":0.000008395824,"domain_scores_codex":[0.9991284,0.00006680076,0.000349756,0.0001332276,0.0001209716,0.0002008712],"domain_scores_gemma":[0.9985946,0.000619893,0.000230288,0.0003607841,0.0001229035,0.0000715257],"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":[0.00002627183,0.0001321318,0.001919135,0.0002720706,0.00004008207,5.429492e-8,0.002193174,5.557641e-7,0.001330642,0.9906935,0.00007163689,0.003320741],"study_design_scores_gemma":[0.0001187541,0.00003016088,0.0008528561,0.00001494859,0.0000754646,0.000004478345,0.003765407,9.958e-7,0.0625833,0.9301571,0.002276634,0.0001198794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.952435,0.003433255,0.03526737,0.00008457048,0.00008554079,0.0003983661,0.00003111562,0.00006217101,0.008202573],"genre_scores_gemma":[0.9970822,0.0002078077,0.001779136,0.00001256797,0.0001395813,0.0001132959,0.000008414369,0.00001408674,0.0006429182],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06125265,"threshold_uncertainty_score":0.4575607,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03466955207976238,"score_gpt":0.2897271126092414,"score_spread":0.255057560529479,"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."}}