{"id":"W2050895508","doi":"10.1142/s1005386706000563","title":"Green's Relations on the Monoid of Regular Hypersubstitutions","year":2006,"lang":"en","type":"article","venue":"Algebra Colloquium","topic":"semigroups and automata theory","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Mathematics; Semigroup; Galois connection; Monoid; Free monoid; Type (biology); Syntactic monoid; Connection (principal bundle); Pure mathematics; Bicyclic semigroup; Combinatorics; Lattice (music); Discrete mathematics; Algebra over a field","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001075025,0.0002855743,0.0003486029,0.00148173,0.001722207,0.001664933,0.0004449749,0.0003690123,0.002100059],"category_scores_gemma":[0.001635691,0.0001975288,0.0006045722,0.001059217,0.003428253,0.003141096,0.001583603,0.0009490299,0.0002917987],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001416965,"about_ca_system_score_gemma":0.0006070171,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001499296,"about_ca_topic_score_gemma":0.00144607,"domain_scores_codex":[0.9991724,0.0001704285,0.00005766299,0.0002020535,0.0002462772,0.0001511312],"domain_scores_gemma":[0.9987663,0.0004883995,0.0001857716,0.0001443318,0.0001650093,0.0002502041],"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":[0.00003890326,0.000008495467,0.0005072639,0.00001809166,0.000004172229,0.0001120703,0.0009712803,0.0002928369,0.00304157,0.9876016,0.0003720797,0.007031632],"study_design_scores_gemma":[0.00001783942,0.00005006865,0.001540337,0.00001996477,0.0000134607,0.0003073346,0.0006176778,0.002653668,0.004346076,0.9753433,0.01506419,0.0000260697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7916607,0.001826923,0.1471234,0.001165492,0.000229529,0.00008938478,0.0004817362,0.0004164293,0.05700638],"genre_scores_gemma":[0.9589763,0.0003561637,0.03097068,0.0001914244,0.0001310073,0.0000635954,0.0001787235,0.00004607866,0.009086082],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002100059,"threshold_uncertainty_score":0.01028085,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007327646450769529,"score_gpt":0.1868543145300428,"score_spread":0.1795266680792733,"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."}}