{"id":"W2024707463","doi":"10.1090/s0002-9939-09-09826-8","title":"Freyd’s generating hypothesis with almost split sequences","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Subcategory; Statement (logic); Sylow theorems; Group (periodic table); Pure mathematics; Combinatorics; Discrete mathematics; Finite group; Linguistics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0003083964,0.000254945,0.0005614142,0.000014589,0.0002157789,0.00007167912,0.0006030166,0.00005820244,0.00003639406],"category_scores_gemma":[0.0004072131,0.0001421629,0.0003131588,0.0004543822,0.0005053623,0.0001246294,0.00009665296,0.000221491,0.000002594326],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005920235,"about_ca_system_score_gemma":0.00003811192,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009594879,"about_ca_topic_score_gemma":2.194091e-7,"domain_scores_codex":[0.9983462,0.00001002286,0.0004051907,0.0002880709,0.0005975767,0.0003529398],"domain_scores_gemma":[0.9985732,0.0002983491,0.0006319842,0.0002159833,0.0001879248,0.00009249996],"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":[0.00002934531,0.0001515782,0.0004596617,0.000190221,0.0001343919,2.184343e-7,0.00245419,0.000004476318,0.008825514,0.983657,0.001983922,0.0021095],"study_design_scores_gemma":[0.0001853637,0.0002062301,0.0005712299,0.0001316569,0.0001061011,0.00001571809,0.002003014,0.0007491758,0.007707536,0.9880822,0.00002296021,0.0002188417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9937636,0.00001810941,0.0004343796,0.001331369,0.00002831035,0.0002932976,0.000002157325,0.00008641435,0.004042398],"genre_scores_gemma":[0.8563581,0.000007415893,0.1428156,0.0005148876,0.0001183148,0.00001502577,9.230011e-8,0.00002457156,0.0001460771],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1423812,"threshold_uncertainty_score":0.5797237,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02309414077722706,"score_gpt":0.2605040139469588,"score_spread":0.2374098731697317,"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."}}