{"id":"W2013913731","doi":"10.2140/pjm.2002.207.393","title":"Support sets of pairs of modules","year":2002,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Combinatorics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007193151,0.0001350823,0.0005607893,0.0001670896,0.00003496341,0.000008782747,0.0003180192,0.00005818038,0.0007834214],"category_scores_gemma":[0.0004976621,0.000105295,0.0002244237,0.0002116566,0.0001285646,0.000101636,0.00004239376,0.0001661863,0.00001809763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002021116,"about_ca_system_score_gemma":0.000023503,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.499569e-7,"about_ca_topic_score_gemma":6.774017e-7,"domain_scores_codex":[0.9980974,0.00005200152,0.001200432,0.00007052301,0.0004349074,0.0001447758],"domain_scores_gemma":[0.9967806,0.0008297493,0.001475483,0.0003918833,0.0004459577,0.00007637896],"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":[0.00004077614,0.008445455,0.002457875,0.004379425,0.001256057,0.00003681527,0.08068793,0.0000696568,0.01773567,0.7664542,0.09761529,0.02082083],"study_design_scores_gemma":[0.0009539189,0.0005364909,0.0003017875,0.0004810014,0.000350078,0.0003615255,0.01419056,0.002835286,0.02210776,0.9561685,0.001444965,0.0002681715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8925221,0.0005368619,0.06409994,0.0005896895,0.0001353112,0.0003694405,0.00006515931,0.00002725883,0.04165425],"genre_scores_gemma":[0.9055183,0.0001387032,0.09395551,0.00000445971,0.00002447692,0.000002380128,6.308393e-7,0.00002183194,0.0003336879],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1897142,"threshold_uncertainty_score":0.8577915,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0748563070426089,"score_gpt":0.3097407509158254,"score_spread":0.2348844438732165,"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."}}