{"id":"W2099862176","doi":"10.4153/cjm-2009-004-x","title":"Ascent Properties of Auslander Categories","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":83,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University; University of British Columbia","funders":"","keywords":"Mathematics; Homomorphism; Pure mathematics; Dimension (graph theory); Homomorphic encryption; Base (topology); Ring (chemistry); Algebra over a field; Mathematical analysis; 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":[0.0002794499,0.0001316211,0.0003955426,0.0001373749,0.0000642604,0.00003417686,0.0002791199,0.00008023946,0.00007356844],"category_scores_gemma":[0.0004081371,0.00009338791,0.0001259683,0.0000950193,0.00007283012,0.00009090646,0.000006542662,0.0001580403,0.000002126757],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007368124,"about_ca_system_score_gemma":0.0006260787,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001422681,"about_ca_topic_score_gemma":0.0004542168,"domain_scores_codex":[0.998845,0.00002316315,0.0005987081,0.00006017471,0.0002550909,0.0002178759],"domain_scores_gemma":[0.9987214,0.00005236129,0.0004415639,0.0002085069,0.0003132553,0.0002628966],"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":[0.000009947158,0.00007355047,0.0001551932,0.0002149833,0.00009146931,0.00003102308,0.007788898,0.00001977029,0.0003381302,0.9879286,0.002778724,0.0005696972],"study_design_scores_gemma":[0.0003205763,0.0001647009,0.000129594,0.0002464832,0.00007266105,0.0001387487,0.001319208,0.00003947604,0.004441381,0.9926491,0.0003573107,0.0001208071],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.996023,0.0006762258,0.001092606,0.0004818657,0.0004656905,0.0001163584,0.000001999229,0.00000676943,0.001135506],"genre_scores_gemma":[0.9959508,0.00001036396,0.003704719,0.00005333058,0.0001375911,4.920113e-7,1.563881e-7,0.00001374789,0.0001287549],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00646969,"threshold_uncertainty_score":0.3808248,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04629385678578101,"score_gpt":0.2548599345086892,"score_spread":0.2085660777229082,"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."}}