{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001703647,0.0005713024,0.0008038484,0.001381474,0.001087159,0.004944667,0.001134177,0.001015053,0.005043837],"category_scores_gemma":[0.002396519,0.0005167444,0.001194798,0.001482547,0.002515706,0.007213322,0.001653247,0.002369052,0.0006341738],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001533689,"about_ca_system_score_gemma":0.0008463395,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000772136,"about_ca_topic_score_gemma":0.0004860411,"domain_scores_codex":[0.9986914,0.0004023355,0.00009856451,0.0002530075,0.0003821994,0.000172587],"domain_scores_gemma":[0.9980187,0.00106061,0.0001638485,0.0002616888,0.0003025233,0.0001925368],"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":[0.00002048888,0.00001652238,0.00008383808,0.00002206068,0.00000556934,0.00003326774,0.000283817,0.0007688882,0.0006230656,0.9941998,0.0004295651,0.003513174],"study_design_scores_gemma":[0.00001083563,0.00001484821,0.00005256531,0.000010309,0.000005158709,0.0000493925,0.00007311841,0.005772366,0.0003083906,0.9920453,0.001649645,0.000008024472],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3457357,0.003921154,0.5660082,0.003943492,0.000632355,0.00006729561,0.000584209,0.0008617179,0.0782459],"genre_scores_gemma":[0.9589061,0.0008316786,0.02894848,0.0002233826,0.0004005219,0.0000428873,0.0003302909,0.00006959715,0.01024707],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005043837,"threshold_uncertainty_score":0.0168733,"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."}}