{"id":"W1967639792","doi":"10.1016/s0166-8641(03)00196-2","title":"Ring theory and pointfree topology","year":2003,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Topology (electrical circuits); Pure mathematics; Ring (chemistry); Algebra over a field; Discrete 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003284777,0.00009463017,0.0001506389,0.0000483195,0.0002396385,0.000009830055,0.0000734494,0.0001063903,0.0002574826],"category_scores_gemma":[0.0002136096,0.00008656643,0.00001872083,0.00005517701,0.0002313946,0.00004611817,0.00003894851,0.0001174214,0.00003149555],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006537065,"about_ca_system_score_gemma":0.00001370189,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004071871,"about_ca_topic_score_gemma":0.00001517935,"domain_scores_codex":[0.9993334,0.00009094215,0.0001498337,0.0002177346,0.00003090622,0.0001771794],"domain_scores_gemma":[0.9991675,0.0004899896,0.00005169119,0.0002054027,0.00002481558,0.00006061258],"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":[0.000003716517,0.00003271495,0.0002880616,0.00001989161,0.00001511378,5.766891e-7,0.0002305716,7.703547e-8,0.0004051824,0.9970199,0.0002195558,0.001764568],"study_design_scores_gemma":[0.0002091968,0.00002323404,0.000824842,0.000003249864,0.00002814222,0.00008346614,0.000325317,0.000006735139,0.00177187,0.974338,0.02228666,0.00009927502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8869544,0.003276702,0.03010056,0.001713095,0.000103133,0.0005309635,0.000008883359,0.000141735,0.07717051],"genre_scores_gemma":[0.9938358,0.0002971093,0.002774745,0.0003765594,0.00006862983,0.0001144205,0.000002005479,0.0000128681,0.002517855],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1068814,"threshold_uncertainty_score":0.3530076,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02536527117007206,"score_gpt":0.2959988951530812,"score_spread":0.2706336239830092,"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."}}