{"id":"W2951973562","doi":"10.48550/arxiv.1111.6113","title":"Polynomial identities for tangent algebras of monoassociative loops","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Commutator; Mathematics; Degree (music); Polynomial; Identity (music); Pure mathematics; Non-associative algebra; Algebra representation; Element (criminal law); Algebra over a field; Clifford algebra; Associative property; Free algebra; Universal enveloping algebra; Lie conformal algebra; Cellular algebra; Mathematical analysis","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":[0.000717259,0.0003930499,0.0003263866,0.001133845,0.001112815,0.002028185,0.0007532692,0.0004384955,0.004296574],"category_scores_gemma":[0.001776092,0.0002109897,0.0005486746,0.0007165506,0.001814636,0.003945746,0.001569192,0.001202615,0.001002779],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001071096,"about_ca_system_score_gemma":0.0007449551,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007981011,"about_ca_topic_score_gemma":0.0007292159,"domain_scores_codex":[0.999317,0.000101798,0.00004117523,0.00008812853,0.0003245723,0.0001272255],"domain_scores_gemma":[0.9991927,0.0001070324,0.0001733066,0.00008672314,0.0002404129,0.0001999335],"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":[0.00001623052,0.00001878615,0.000213833,0.00001583221,0.000002591457,0.0000681599,0.0003932495,0.0007687704,0.001385059,0.992633,0.0002713152,0.004213085],"study_design_scores_gemma":[0.00001128522,0.00003795874,0.0003779823,0.000008184195,0.000005531622,0.0001419418,0.0001637378,0.008794069,0.002145522,0.9829924,0.005303791,0.00001761415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.6479021,0.0006805381,0.2583968,0.000592057,0.0003426519,0.0001242932,0.000206513,0.0003731761,0.09138179],"genre_scores_gemma":[0.968072,0.0002818106,0.01785866,0.0001553148,0.0001861083,0.00004745686,0.0001224095,0.00004299678,0.01323318],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.004296574,"threshold_uncertainty_score":0.01437348,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2233766871929288,"score_gpt":0.2450391300155434,"score_spread":0.02166244282261465,"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."}}