{"id":"W2980148097","doi":"10.5802/alco.53","title":"The antipode of linearized Hopf monoids","year":2019,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; York University","keywords":"Hopf algebra; Mathematics; Monoid; Functor; Commutative property; Pure mathematics; Tensor algebra; Combinatorics; Discrete mathematics; Algebra over a field; Division algebra; Subalgebra","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001260856,0.0008297968,0.001424081,0.0001708656,0.0005308223,0.0002491138,0.001898075,0.0007169054,0.0003528898],"category_scores_gemma":[0.0008512604,0.000638144,0.000713206,0.001207119,0.0003944914,0.0002397312,0.0008359985,0.001115761,0.0003437198],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002151016,"about_ca_system_score_gemma":0.0005191657,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001241593,"about_ca_topic_score_gemma":0.000008042783,"domain_scores_codex":[0.9943998,0.0003912272,0.001719802,0.0008339019,0.001473007,0.001182272],"domain_scores_gemma":[0.9922112,0.002977343,0.001218958,0.002629847,0.0006640924,0.0002985667],"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":[0.0001959855,0.0003792865,0.002070192,0.000413587,0.0004724516,0.000007247083,0.0009183818,0.00001211088,0.0002942125,0.9911932,0.002311186,0.001732205],"study_design_scores_gemma":[0.003824428,0.0006797928,0.0007316019,0.000208706,0.0003282106,0.00001341399,0.0005763692,0.002434135,0.002634343,0.9771916,0.01062854,0.0007488514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9715912,0.004733582,0.000215222,0.0007505231,0.01476555,0.001589181,0.00002642392,0.0001494232,0.006178874],"genre_scores_gemma":[0.9900364,0.001279535,0.0001485057,0.0001041871,0.0003314067,0.00003069574,0.00001250881,0.0001742435,0.007882494],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0184452,"threshold_uncertainty_score":0.999607,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01103693744257131,"score_gpt":0.2489928585774069,"score_spread":0.2379559211348356,"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."}}