{"id":"W2163293477","doi":"","title":"Hypercentral and Monic Automorphisms of Classical Algebras, Rings and Groups","year":2008,"lang":"en","type":"article","venue":"SibFU Digital Repository (Siberian Federal University)","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Automorphism; Monic polynomial; Automorphisms of the symmetric and alternating groups; Mathematics; Pure mathematics; Ideal (ethics); Nilpotent; Associative property; Group (periodic table); Polynomial; Physics; Mathematical analysis; Philosophy","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":[0.0008983907,0.0003760757,0.0003683079,0.001215029,0.0009524985,0.001400204,0.0004081413,0.0002992272,0.004807243],"category_scores_gemma":[0.001591097,0.0002718491,0.0005540074,0.000673676,0.003129497,0.002528436,0.001311465,0.00109333,0.0007729576],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001028505,"about_ca_system_score_gemma":0.0007976032,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007339906,"about_ca_topic_score_gemma":0.0007886814,"domain_scores_codex":[0.9994895,0.0001201911,0.00003324511,0.0001250123,0.0001309576,0.0001010679],"domain_scores_gemma":[0.9989605,0.0002613571,0.000213357,0.0001909835,0.0001878822,0.0001858536],"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":[0.00009891751,0.00002841319,0.0006594536,0.00004159119,0.00001172366,0.0001447419,0.0004465836,0.001882662,0.003983452,0.9787183,0.0005265829,0.01345744],"study_design_scores_gemma":[0.00002429338,0.000096084,0.001826941,0.00001605345,0.00001298319,0.0003164349,0.0001526026,0.004895558,0.00444364,0.9808177,0.00737522,0.00002253278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8626783,0.002157628,0.07526997,0.001048522,0.0004608171,0.00005261284,0.0001739141,0.0001875517,0.0579706],"genre_scores_gemma":[0.9686322,0.0007874934,0.00764649,0.00008493305,0.0004152649,0.00001909381,0.0001025121,0.00003028066,0.02228172],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004807243,"threshold_uncertainty_score":0.01608181,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01904656910895127,"score_gpt":0.2117767940465645,"score_spread":0.1927302249376132,"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."}}