{"id":"W2555442051","doi":"10.14232/actasm-015-056-y","title":"Homomorphisms and principal congruences of bounded lattices I. Isotone maps of principal congruences","year":2016,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":17,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Homomorphism; Bounded function; Congruence relation; Mathematics; Combinatorics; Converse; Order (exchange); Discrete mathematics; Pure mathematics; Mathematical analysis","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":[0.0009325873,0.000252223,0.0005447987,0.0002163249,0.0001754443,0.0001242039,0.001440404,0.00008931659,0.00007108196],"category_scores_gemma":[0.0003425624,0.0001578663,0.0001055676,0.0005325252,0.001431521,0.001161856,0.0006759338,0.00008774504,0.0000191465],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002122966,"about_ca_system_score_gemma":0.0001295315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001243463,"about_ca_topic_score_gemma":0.00001870788,"domain_scores_codex":[0.9973408,0.00008684625,0.0007071875,0.0006072934,0.0007317667,0.000526137],"domain_scores_gemma":[0.9975933,0.0005579562,0.0006466084,0.000807625,0.0002120491,0.0001824979],"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":[0.00001444187,0.0002275642,0.003836649,0.00027026,0.00007644946,0.00001151222,0.001345877,0.000002419211,0.0603544,0.9301794,0.000118657,0.003562332],"study_design_scores_gemma":[0.001619769,0.0006307976,0.006620658,0.0008035063,0.00009355368,0.0001293792,0.0005230456,0.002886365,0.1720629,0.8115543,0.00229383,0.0007819544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.935316,0.0002342456,0.05919115,0.001787184,0.000454917,0.0004307247,0.00003937399,0.0001102262,0.00243616],"genre_scores_gemma":[0.9619606,0.00004098931,0.0374593,0.00004985182,0.00001999317,0.0000173964,0.000001275857,0.00001029516,0.0004403096],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1186252,"threshold_uncertainty_score":0.6437602,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01657157532648238,"score_gpt":0.2487198530513874,"score_spread":0.232148277724905,"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."}}