{"id":"W2582726746","doi":"10.1016/j.jalgebra.2018.08.015","title":"Graded division algebras over the field of real numbers","year":2018,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Science Foundation","keywords":"Mathematics; Division (mathematics); Division algebra; Field (mathematics); Division ring; Pure mathematics; Algebra over a field; Arithmetic; Algebra representation","routes":{"ca_aff":true,"ca_fund":true,"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":[0.000980167,0.0006778797,0.0006318346,0.001553036,0.001436968,0.004088353,0.000949011,0.0005350877,0.00707331],"category_scores_gemma":[0.001744647,0.0003689714,0.0004367683,0.001378638,0.003374267,0.005298461,0.001458404,0.00145568,0.001005975],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001730071,"about_ca_system_score_gemma":0.001157777,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001328998,"about_ca_topic_score_gemma":0.001329223,"domain_scores_codex":[0.9993984,0.0001260097,0.00004483058,0.0001043848,0.000194342,0.0001321317],"domain_scores_gemma":[0.9990766,0.0002577693,0.0001884642,0.00009199746,0.0001514517,0.0002336736],"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":[0.00002983808,0.00001852756,0.000263518,0.00002679169,0.00000572446,0.00006875819,0.0001624265,0.0004366726,0.0005786674,0.9948762,0.0004156738,0.003117286],"study_design_scores_gemma":[0.00002012899,0.0000132206,0.0002154777,0.00001414254,0.000008309042,0.0001157753,0.00009021922,0.0008850781,0.0003918152,0.9943243,0.003911857,0.000009589522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6034772,0.00498818,0.125164,0.004278924,0.0007731394,0.0001095343,0.00081031,0.0004126736,0.2599861],"genre_scores_gemma":[0.9708145,0.001133059,0.007840544,0.0002162265,0.0003841703,0.00002673956,0.0002486937,0.00003008025,0.01930594],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00707331,"threshold_uncertainty_score":0.02366257,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01985595434845402,"score_gpt":0.3240367900536585,"score_spread":0.3041808357052045,"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."}}