{"id":"W1968402392","doi":"10.1007/s00233-006-0663-9","title":"Null Extensions and Generalized Inflations of Brandt Semigroups","year":2007,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Lethbridge; Carleton University","funders":"","keywords":"Semigroup; Mathematics; Null (SQL); Extension (predicate logic); Associative property; Pure mathematics; Inflation (cosmology); Bicyclic semigroup; Cancellative semigroup; Computer science","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":[0.002433238,0.0005625501,0.0009558325,0.002178566,0.002547328,0.004289882,0.0009442227,0.001266385,0.005458174],"category_scores_gemma":[0.00528082,0.000741366,0.001415077,0.001265297,0.004359209,0.007909551,0.003117537,0.002224409,0.0006238257],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009537771,"about_ca_system_score_gemma":0.0005147335,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003614364,"about_ca_topic_score_gemma":0.0004803501,"domain_scores_codex":[0.9983746,0.0004395494,0.0001449702,0.0003397072,0.0003993543,0.0003018889],"domain_scores_gemma":[0.9960467,0.001976596,0.0004353055,0.0004636534,0.0004729092,0.0006048023],"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":[0.00005137336,0.00001458442,0.0001683987,0.00001777295,0.000004640091,0.0001079474,0.0006625475,0.000209125,0.0009757609,0.9954752,0.0002422635,0.002070258],"study_design_scores_gemma":[0.00001887837,0.00001850812,0.000167865,0.000009285858,0.000008792604,0.0001700499,0.000173516,0.001916295,0.0005722158,0.9954196,0.001507611,0.00001744862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7386574,0.001401615,0.2002067,0.00198162,0.0005301838,0.00005602926,0.000331871,0.0005115234,0.05632313],"genre_scores_gemma":[0.9733752,0.0002975589,0.01559378,0.0001754981,0.0002324587,0.00005077348,0.0001630681,0.00009165621,0.01002016],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005458174,"threshold_uncertainty_score":0.01825941,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006394366323752306,"score_gpt":0.2311395756814998,"score_spread":0.2247452093577474,"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."}}