{"id":"W1997031552","doi":"10.1016/j.jalgebra.2009.09.040","title":"Submonoids and rational subsets of groups with infinitely many ends","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"semigroups and automata theory","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Pure mathematics","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":[0.00139347,0.0006748507,0.001140976,0.001903532,0.002257872,0.004697561,0.001138044,0.0009522313,0.004991739],"category_scores_gemma":[0.002654479,0.0006137664,0.001154378,0.001005795,0.004274306,0.005289467,0.003122345,0.00142506,0.0007917397],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009784353,"about_ca_system_score_gemma":0.0004425031,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004682042,"about_ca_topic_score_gemma":0.0004951684,"domain_scores_codex":[0.9989348,0.0003211413,0.0001029675,0.0002023714,0.0002339767,0.0002046167],"domain_scores_gemma":[0.9970013,0.001522163,0.000276533,0.0003960719,0.0002765592,0.0005272486],"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":[0.0000667826,0.00001773528,0.0003092204,0.00001979119,0.000008699039,0.0001458829,0.001147631,0.0002008639,0.001438551,0.9938905,0.0003016195,0.002452784],"study_design_scores_gemma":[0.00002964038,0.00002658179,0.000264522,0.00001355733,0.00001596113,0.0001444095,0.0005502243,0.001408366,0.0009568485,0.9931909,0.003384228,0.00001455399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7802182,0.001276879,0.1559255,0.001379245,0.0003087453,0.00007861147,0.0003650741,0.0005266829,0.0599209],"genre_scores_gemma":[0.9767383,0.000210195,0.01264317,0.0001538792,0.0001578096,0.00008192815,0.0002665591,0.00006505374,0.009683047],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004991739,"threshold_uncertainty_score":0.01669902,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00683257774827001,"score_gpt":0.2088505664838311,"score_spread":0.2020179887355611,"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."}}