{"id":"W2074534086","doi":"10.1016/j.jalgebra.2011.02.048","title":"Representation theory of finite semigroups over semirings","year":2011,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"semigroups and automata theory","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Semiring; Semigroup; Representation (politics); Mathematics; Simple (philosophy); Character (mathematics); Field (mathematics); Finite field; Commutative property; Unit (ring theory); Algebra over a field; Pure mathematics; Discrete mathematics","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":[0.001987925,0.00027418,0.0006832088,0.0004215575,0.00004297827,0.0001207454,0.002103789,0.0002658475,0.0001704734],"category_scores_gemma":[0.0003044727,0.0002291587,0.0005299292,0.0002771631,0.00009990556,0.000650827,0.001281898,0.0008470265,0.00001361468],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000589082,"about_ca_system_score_gemma":0.0002085615,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002211096,"about_ca_topic_score_gemma":7.883409e-7,"domain_scores_codex":[0.997368,0.0003126739,0.00109799,0.000353462,0.0006220079,0.0002458589],"domain_scores_gemma":[0.9955301,0.0005928268,0.002394785,0.001002396,0.000346596,0.0001332896],"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":[0.0004821509,0.0008836765,0.005426701,0.000874274,0.001664777,0.0005636863,0.02497217,0.002107021,0.01352656,0.8048115,0.01577284,0.1289147],"study_design_scores_gemma":[0.0006276069,0.0002130782,0.01508211,0.0009358468,0.0001207515,0.0001802109,0.0001642441,0.002925681,0.02568842,0.9532263,0.0004323331,0.0004033775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5794429,0.002278212,0.4117826,0.0002327966,0.002425962,0.0001915168,0.00001028195,0.00007760919,0.00355807],"genre_scores_gemma":[0.9776127,0.0003949478,0.02099193,0.0002933647,0.0004001319,0.000003405033,0.000003563445,0.00002940351,0.0002705742],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3981697,"threshold_uncertainty_score":0.9344821,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02836510203245792,"score_gpt":0.2623783498689101,"score_spread":0.2340132478364522,"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."}}