{"id":"W2963282310","doi":"10.1016/j.aim.2009.09.001","title":"A groupoid approach to discrete inverse semigroup algebras","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":184,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Inverse semigroup; Inverse element; Bicyclic semigroup; Semigroup; Cancellative semigroup; Pure mathematics; Duality (order theory); Inverse; Algebra over a field; Convolution (computer science); Idempotence; Special classes of semigroups","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":[0.001025467,0.0007220216,0.0009288944,0.00179325,0.001584484,0.003021399,0.001295002,0.00130573,0.00668837],"category_scores_gemma":[0.001769128,0.0004335354,0.001330442,0.001709196,0.005456045,0.007009558,0.002102695,0.004702095,0.001045959],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001863388,"about_ca_system_score_gemma":0.0008880227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00138085,"about_ca_topic_score_gemma":0.001123865,"domain_scores_codex":[0.9993826,0.0002126235,0.0000388613,0.0001272977,0.000179429,0.00005917848],"domain_scores_gemma":[0.999347,0.0002974649,0.00003288451,0.0001008605,0.0001316912,0.00009012715],"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":[0.000003163931,0.000004602781,0.0000114229,0.000007522935,0.000001365752,0.00001419212,0.0001048849,0.0001739837,0.0001391683,0.998023,0.0002598625,0.001256736],"study_design_scores_gemma":[0.000004299981,0.000007316293,0.00001507308,0.000004848686,0.000002156197,0.00002209626,0.00003035618,0.001150003,0.00008232173,0.9939628,0.004715038,0.000003758706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03416259,0.004952486,0.8408087,0.005631753,0.001499612,0.00007116317,0.0001975394,0.0002501659,0.112426],"genre_scores_gemma":[0.6272911,0.005252171,0.2890861,0.002251431,0.003245378,0.0002621289,0.0003771352,0.0002200975,0.07201446],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00668837,"threshold_uncertainty_score":0.02237481,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00977277697568894,"score_gpt":0.255818919786288,"score_spread":0.246046142810599,"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."}}