{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004431464,0.0002147026,0.0002921939,0.0001598127,0.00006410101,0.0001057431,0.001190781,0.00005890472,0.000007736204],"category_scores_gemma":[0.00009875111,0.0001833353,0.00006575356,0.0007081701,0.00003845725,0.001100641,0.0001933172,0.0001546512,0.00009365345],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005026912,"about_ca_system_score_gemma":0.00001549207,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000199285,"about_ca_topic_score_gemma":0.000004628914,"domain_scores_codex":[0.9984552,0.00004095367,0.0003710109,0.0004193876,0.0003083555,0.0004051293],"domain_scores_gemma":[0.998809,0.0001316112,0.0001070166,0.000802154,0.00002322195,0.000127042],"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":[0.000003612035,0.0002957535,0.00004335275,0.00006916686,0.000004497437,0.00001489107,0.004453365,0.001098217,0.0003973057,0.9602575,0.000549884,0.03281246],"study_design_scores_gemma":[0.0003626856,0.0001185369,0.0003566396,0.0001209665,0.000005612909,0.00004457928,0.0004537066,0.1424926,0.0005706415,0.8469334,0.008085603,0.0004550224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0140744,0.0005759099,0.9420643,0.0003909855,0.0001593435,0.0003284024,0.000002495595,0.0002914419,0.04211275],"genre_scores_gemma":[0.1842774,0.0001360834,0.8131328,0.002033873,0.00006366925,0.00003582874,0.000003398359,0.00001614116,0.0003007459],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.170203,"threshold_uncertainty_score":0.7476196,"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."}}