{"id":"W2001254699","doi":"10.1006/jabr.2001.8877","title":"On the Associative Analog of Lie Bialgebras","year":2001,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":210,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Bialgebra; Infinitesimal; Mathematics; Coalgebra; Pure mathematics; Associative property; Lie algebra; Commutator; Algebra over a field; Associative algebra; Hopf algebra; Lie conformal algebra; Algebra representation; Mathematical analysis; Cellular algebra","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":[0.001496769,0.0006902329,0.0009973006,0.002471861,0.00292348,0.002915599,0.001255822,0.001672788,0.01032566],"category_scores_gemma":[0.003290805,0.0005215714,0.000659213,0.001990414,0.003720665,0.006865934,0.002994412,0.003198368,0.001173159],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001189803,"about_ca_system_score_gemma":0.0007463326,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001635065,"about_ca_topic_score_gemma":0.001380477,"domain_scores_codex":[0.999189,0.0002597714,0.00005021727,0.0001239816,0.0002646749,0.0001123354],"domain_scores_gemma":[0.9988863,0.0002995546,0.0001218953,0.0001391853,0.0003363793,0.0002166468],"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":[0.000006993475,0.000009702177,0.00003795463,0.00001117741,0.00000241329,0.00002499921,0.0001107537,0.0001360141,0.0001397383,0.9976265,0.0005696182,0.001324221],"study_design_scores_gemma":[0.000003079453,0.000004318893,0.00003510427,0.000004457129,0.000001222091,0.00003098455,0.00003635734,0.000518262,0.00003607571,0.9979718,0.001354996,0.00000334144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3200787,0.01005234,0.1325395,0.01146589,0.003534412,0.00008443864,0.0003114159,0.0003726254,0.5215607],"genre_scores_gemma":[0.9108912,0.003463349,0.02093114,0.002847425,0.002673434,0.00006424535,0.0003073742,0.0001468484,0.05867508],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01032566,"threshold_uncertainty_score":0.0345428,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0539908379977903,"score_gpt":0.3309029833948551,"score_spread":0.2769121453970648,"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."}}