{"id":"W2130673349","doi":"10.2140/ant.2013.7.431","title":"Maximal ideals and representations of twisted forms of algebras","year":2013,"lang":"en","type":"preprint","venue":"Algebra & Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta; Université Laval","funders":"","keywords":"Bijection; Mathematics; Simple (philosophy); Base (topology); Pure mathematics; Extension (predicate logic); Algebra over a field; Lie algebra; Ideal (ethics); Maximal ideal; Combinatorics; Computer science; 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":[0.001057057,0.0006781746,0.0005560378,0.002632791,0.001380826,0.003871602,0.000882139,0.0005740922,0.003722027],"category_scores_gemma":[0.002355006,0.00050461,0.0008547634,0.001040832,0.004769142,0.005812758,0.002763337,0.001658832,0.0007937949],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001050534,"about_ca_system_score_gemma":0.0004475317,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003714026,"about_ca_topic_score_gemma":0.0002819233,"domain_scores_codex":[0.998804,0.000251394,0.00008875737,0.0002018875,0.0003446483,0.000309311],"domain_scores_gemma":[0.9984976,0.0003063119,0.0003339061,0.0001343986,0.000203549,0.000524286],"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":[0.00003681299,0.00002056212,0.0004950955,0.00002380239,0.000006341571,0.0001185787,0.0006671611,0.0004719612,0.002087186,0.9928284,0.0002429841,0.003001004],"study_design_scores_gemma":[0.00001880793,0.00004665279,0.000574124,0.00002159992,0.000008204191,0.0003174284,0.0003080215,0.003386822,0.002319607,0.9900738,0.002905948,0.00001907661],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8439182,0.001349849,0.08767342,0.0006696857,0.0001905342,0.00007868807,0.0002207788,0.0002574714,0.06564131],"genre_scores_gemma":[0.9862046,0.0003589308,0.007409966,0.00006190496,0.0002547189,0.00003716397,0.000146475,0.00003796913,0.005488162],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003871602,"threshold_uncertainty_score":0.01245147,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02586689856282175,"score_gpt":0.3079642851433528,"score_spread":0.282097386580531,"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."}}