{"id":"W2055594915","doi":"10.4153/cjm-2009-023-2","title":"A Subalgebra Intersection Property for Congruence Distributive Varieties","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":33,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Unary operation; Distributive property; Idempotence; Subalgebra; Congruence (geometry); Property (philosophy); Pure mathematics; Intersection (aeronautics); Affine transformation; Algebra over a field; Discrete 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":[0.0002524709,0.00009116198,0.0001731508,0.00009961947,0.0001226769,0.0001177652,0.0004779497,0.00004098865,0.000007016612],"category_scores_gemma":[0.0003304691,0.00005953203,0.0001002208,0.0001494923,0.00005014046,0.0004021896,0.000008072121,0.0001192011,0.000003506456],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001379203,"about_ca_system_score_gemma":0.0005008293,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006171748,"about_ca_topic_score_gemma":0.0009445283,"domain_scores_codex":[0.9992903,0.0000156151,0.0002771391,0.00008932634,0.0001048575,0.0002227428],"domain_scores_gemma":[0.9989901,0.00007559814,0.0002232043,0.0001550758,0.0002991068,0.0002568709],"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":[0.000008395502,0.0000669441,0.0001538948,0.00005149468,0.0000435266,0.00009301373,0.005215342,0.00009274483,0.0003012902,0.9546295,0.003696269,0.03564759],"study_design_scores_gemma":[0.0005057866,0.001059513,0.0009878696,0.0001607232,0.000031969,0.0007352411,0.001026882,0.009434624,0.001483714,0.9779801,0.006314675,0.0002788632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0140161,0.0001132054,0.9836093,0.001438905,0.0002972572,0.0001302163,0.000005453637,0.00001187031,0.0003777492],"genre_scores_gemma":[0.9362673,0.000003147247,0.06324065,0.0002791939,0.00006429548,0.000001880479,6.532241e-7,0.000003756916,0.0001391094],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9222512,"threshold_uncertainty_score":0.2427646,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01698646704635338,"score_gpt":0.2320665790006097,"score_spread":0.2150801119542563,"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."}}