{"id":"W2043430872","doi":"10.1006/jabr.2000.8643","title":"Group Gradings on Associative Algebras","year":2001,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":184,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta; Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Algebraically closed field; Abelian group; Division ring; Pure mathematics; Associative property; Division algebra; Torsion (gastropod); Algebra over a field; Division (mathematics); Subalgebra; Arithmetic","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":[0.001881185,0.0009908463,0.001261367,0.004966824,0.003448549,0.004475967,0.001270748,0.001439454,0.0124715],"category_scores_gemma":[0.003593196,0.0007847037,0.0009041965,0.002472212,0.004102102,0.008252273,0.003450646,0.002735427,0.001806888],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001828667,"about_ca_system_score_gemma":0.000802527,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001044349,"about_ca_topic_score_gemma":0.001556541,"domain_scores_codex":[0.9988405,0.0002678442,0.00007628407,0.0001630449,0.0003764036,0.0002758612],"domain_scores_gemma":[0.9974051,0.0005840888,0.0003672361,0.0002659044,0.0004674553,0.0009100553],"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":[0.00004748442,0.00003931055,0.0003083366,0.00001744214,0.000006228671,0.00008257211,0.0003643832,0.0001850547,0.000687117,0.9934581,0.0009726677,0.003831316],"study_design_scores_gemma":[0.00002342985,0.00002259006,0.0003232353,0.000008966265,0.000007799868,0.00009432637,0.0001095155,0.0007127037,0.0003148921,0.9963508,0.002018293,0.00001348993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.725804,0.00110669,0.06768514,0.003940121,0.002254298,0.0001457523,0.0004378936,0.0005946488,0.1980314],"genre_scores_gemma":[0.941938,0.0005449608,0.008298109,0.000501144,0.0009017913,0.00007684955,0.0002406566,0.0001523417,0.04734618],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0124715,"threshold_uncertainty_score":0.04172128,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04171217861114612,"score_gpt":0.3282865956995243,"score_spread":0.2865744170883782,"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."}}