{"id":"W2974208691","doi":"10.1080/03081087.2019.1669524","title":"Bialgebra structures on table algebras","year":2019,"lang":"en","type":"article","venue":"Linear and Multilinear Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Bialgebra; Coalgebra; Mathematics; Associative property; Algebra over a field; Commutative property; Pure mathematics; Associative algebra; Unital; Cellular algebra; Hopf algebra; Algebra representation","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003004292,0.0005015387,0.0006188208,0.0001903265,0.000185474,0.00007945143,0.0003810557,0.0003000289,0.001350031],"category_scores_gemma":[0.0006106237,0.0004317919,0.0001458608,0.0003063205,0.0001514997,0.0002439114,0.0002237136,0.0006210363,0.0006082379],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004904486,"about_ca_system_score_gemma":0.00006173738,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002111115,"about_ca_topic_score_gemma":0.00001192678,"domain_scores_codex":[0.9973714,0.00008856638,0.0005649233,0.0008190864,0.0005047958,0.0006512814],"domain_scores_gemma":[0.9977652,0.0006777834,0.0001995418,0.0009763908,0.0001270143,0.0002540426],"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":[0.0002047125,0.0002524767,0.002509708,0.0002829032,0.0001421482,0.00002873991,0.0005769358,0.00006162802,0.003744476,0.9799531,0.002105382,0.01013786],"study_design_scores_gemma":[0.004124342,0.0005939319,0.002311397,0.0001675463,0.000108036,0.00006246493,0.0003345708,0.006478727,0.05087774,0.880749,0.05283961,0.001352577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.988606,0.0002188624,0.001273548,0.0002513141,0.0008915387,0.00082128,0.00004802531,0.00040606,0.007483399],"genre_scores_gemma":[0.9142093,0.00008981209,0.07395206,0.001161299,0.0008862111,0.00003165378,0.00004435089,0.0001848329,0.009440478],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09920397,"threshold_uncertainty_score":0.9998134,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03021297351916985,"score_gpt":0.3191780136760843,"score_spread":0.2889650401569144,"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."}}