{"id":"W2609889361","doi":"10.1090/crmp/053/03","title":"Purity and pure-injectivity for topological modules","year":2011,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Topology (electrical circuits); Materials science; Computer science; Mathematics; Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002932872,0.0007833525,0.0008837757,0.001911218,0.002218551,0.006108226,0.0009995479,0.001129196,0.004735297],"category_scores_gemma":[0.003846125,0.0009266634,0.001177997,0.001430206,0.009787781,0.01311285,0.003088363,0.005101599,0.001163228],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001643628,"about_ca_system_score_gemma":0.0009189284,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007558477,"about_ca_topic_score_gemma":0.0006696791,"domain_scores_codex":[0.9982314,0.0005487482,0.0001321881,0.0003383791,0.0005328311,0.0002164399],"domain_scores_gemma":[0.9971817,0.001499122,0.000180991,0.0003727124,0.0005236609,0.0002418828],"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":[0.000008309555,0.000006165898,0.00005514553,0.00001909034,0.000003654832,0.00001218251,0.0001558551,0.0000892115,0.0001659039,0.997523,0.0004535533,0.001507954],"study_design_scores_gemma":[0.000006302856,0.000007354604,0.00009356832,0.000008591213,0.000006391667,0.00005065881,0.00004696689,0.0004047441,0.0002833671,0.9957696,0.003316145,0.000006323881],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1489199,0.01297117,0.3793501,0.005511221,0.0009064763,0.0001211387,0.0007463472,0.0006908622,0.4507829],"genre_scores_gemma":[0.9327822,0.003469962,0.02509618,0.0006273754,0.001269816,0.0001318043,0.0004984164,0.000229716,0.03589446],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006108226,"threshold_uncertainty_score":0.01584113,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05940009472460411,"score_gpt":0.2771569925057513,"score_spread":0.2177568977811472,"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."}}