{"id":"W2072046609","doi":"10.1006/jabr.1999.8148","title":"Constructing Pointed Hopf Algebras by Ore Extensions","year":2000,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":95,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University; Mount Allison University","funders":"","keywords":"Hopf algebra; Mathematics; Pure mathematics; Representation theory of Hopf algebras; Algebra over a field; Quasitriangular Hopf algebra; Division 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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003657927,0.0002510987,0.0005603091,0.0001134855,0.0001831434,0.00007675773,0.0003840092,0.000165307,0.003366454],"category_scores_gemma":[0.0004212775,0.0001967271,0.0003008611,0.0002492871,0.000112492,0.0002791737,0.00004444185,0.0005437182,0.00002870887],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009139572,"about_ca_system_score_gemma":0.0001165319,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001073587,"about_ca_topic_score_gemma":0.000002595969,"domain_scores_codex":[0.9979056,0.00009624777,0.0008996016,0.0001905197,0.0005489317,0.0003590897],"domain_scores_gemma":[0.9982913,0.0003006069,0.0005597701,0.0003111675,0.0002945192,0.0002426436],"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":[0.0002754478,0.000251045,0.0006304227,0.0000499663,0.000338047,0.0001712504,0.0009681672,0.000007577415,0.001258802,0.8328067,0.1097298,0.05351274],"study_design_scores_gemma":[0.001441562,0.0002369337,0.0001232431,0.0001494484,0.0001373548,0.001291355,0.0007057872,0.00005862665,0.001759325,0.9890314,0.004785255,0.0002797303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9936873,0.0004723936,0.0004014554,0.0007432764,0.0008485581,0.0001155579,0.000007278378,0.00004814181,0.003675984],"genre_scores_gemma":[0.9928465,0.00007693176,0.005332829,0.0003504766,0.0005342829,0.000001445563,0.000002356964,0.00004893696,0.0008061826],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1562247,"threshold_uncertainty_score":0.9975446,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01745309221740677,"score_gpt":0.2736943618879387,"score_spread":0.256241269670532,"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."}}