{"id":"W2906412495","doi":"10.3390/axioms8010001","title":"(L)-Semigroup Sums","year":2018,"lang":"en","type":"article","venue":"Axioms","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Semigroup; Mathematics; Abelian group; Boundary (topology); Quotient; Bicyclic semigroup; Cancellative semigroup; Retract; Combinatorics; Pure mathematics; Space (punctuation); Locally compact space; Discrete 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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001583061,0.0000727743,0.0001031718,0.00002752804,0.0000974055,0.000004300512,0.0001196875,0.00007368345,0.00088404],"category_scores_gemma":[0.0001795825,0.000061037,0.00003440986,0.00007108477,0.0002561695,0.00005841618,0.00003774235,0.00007979786,0.0008692704],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001054613,"about_ca_system_score_gemma":0.000007649203,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003652647,"about_ca_topic_score_gemma":0.00001838503,"domain_scores_codex":[0.9994987,0.00003148479,0.0001061387,0.0001243177,0.00006109349,0.0001782152],"domain_scores_gemma":[0.9994497,0.000187584,0.00003653228,0.0002567343,0.00003065254,0.00003878907],"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":[0.00001576258,0.00002763107,0.00004220816,0.000005166662,0.00001245115,0.000005887393,0.0005723722,4.45082e-8,0.0006379985,0.9931245,0.002892112,0.002663796],"study_design_scores_gemma":[0.0001925008,0.00008081043,0.0001626045,0.000008121607,0.00001052973,0.00001927368,0.0001714096,0.00003984903,0.006462497,0.9764871,0.01626086,0.0001044161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6410406,0.0001217139,0.1990606,0.0004547176,0.0008649728,0.00015239,0.00000442166,0.000328199,0.1579724],"genre_scores_gemma":[0.9872021,0.000004117678,0.003203288,0.0003474122,0.0003275143,0.000005591951,0.000001596313,0.00001446581,0.008893902],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3461615,"threshold_uncertainty_score":0.9999087,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04887931286714944,"score_gpt":0.3735103733550336,"score_spread":0.3246310604878841,"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."}}