{"id":"W2158970092","doi":"10.1017/s1446788713000189","title":"APPROXIMATELY MULTIPLICATIVE MAPS FROM WEIGHTED SEMILATTICE ALGEBRAS","year":2013,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; Newcastle University","keywords":"Semilattice; Mathematics; Idempotence; Multiplicative function; Combinatorics; Omega; Function (biology); Discrete mathematics; Semigroup; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0008631056,0.0003586968,0.0003063284,0.0009766439,0.000742453,0.001743426,0.0005236521,0.0005562572,0.003624219],"category_scores_gemma":[0.002148495,0.0002761837,0.0004894438,0.0005398356,0.001218236,0.003508391,0.001498173,0.0007851005,0.0004299863],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008286419,"about_ca_system_score_gemma":0.0003472897,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000401296,"about_ca_topic_score_gemma":0.000345112,"domain_scores_codex":[0.9991689,0.000198214,0.00005335739,0.0001322094,0.0003423,0.0001050372],"domain_scores_gemma":[0.9991738,0.0002283727,0.0001463595,0.00007624159,0.0001949344,0.0001801831],"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":[0.00002053811,0.00001593338,0.0002047744,0.00002287009,0.000006371124,0.0000852599,0.0002371108,0.001245102,0.003135892,0.990673,0.0002499336,0.004103175],"study_design_scores_gemma":[0.00001004999,0.00004004274,0.0004147128,0.0000117631,0.000007681331,0.0002595553,0.000235769,0.02148581,0.003196621,0.9701205,0.004198635,0.00001884979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.715678,0.0006136999,0.2243721,0.0005896243,0.0001364557,0.00005703411,0.0001247737,0.0001741138,0.05825429],"genre_scores_gemma":[0.9621664,0.0001810375,0.02719582,0.0001588921,0.0001278088,0.00004812738,0.00008050109,0.00003550986,0.01000585],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003624219,"threshold_uncertainty_score":0.01212424,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.051639328652691,"score_gpt":0.3179308012630541,"score_spread":0.2662914726103631,"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."}}