{"id":"W2013053235","doi":"10.1155/s0161171201011292","title":"On the constructions of Tits and Faulkner: an isomorphism theorem","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Ottawa","keywords":"Mathematics; Isomorphism (crystallography); Construct (python library); Field (mathematics); Algebraically closed field; Isomorphism theorem; Isomorphism extension theorem; Pure mathematics; Algebra over a field; Picard–Lindelöf theorem; Fixed-point theorem","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001383348,0.0001240918,0.0002740878,0.0001283932,0.0001229655,0.00008663951,0.000496951,0.00004618052,0.000230336],"category_scores_gemma":[0.001857146,0.0000679962,0.00006318419,0.000114254,0.0009133196,0.0002181245,0.00009438228,0.0001607848,0.000002862505],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001628465,"about_ca_system_score_gemma":0.00003679186,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.08964e-7,"about_ca_topic_score_gemma":0.000001843791,"domain_scores_codex":[0.9983722,0.00004431724,0.0006073744,0.0001194836,0.0007260015,0.000130626],"domain_scores_gemma":[0.996586,0.002371939,0.0005423875,0.0001469888,0.0002645525,0.00008808744],"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":[0.000007298397,0.0002100878,0.0000420397,0.00002458891,0.00004378208,0.000007727393,0.0007665246,0.00000389794,0.0003709881,0.9969715,0.00007120359,0.001480395],"study_design_scores_gemma":[0.0002185119,0.0001920421,0.00002880129,0.0002246361,0.00002931177,0.000957529,0.001663744,0.001615794,0.0005809191,0.9942971,0.0001154767,0.00007616073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.950707,0.00006087312,0.03861917,0.002489836,0.0001835431,0.0001225904,0.000005472925,0.0000102697,0.007801243],"genre_scores_gemma":[0.8765594,0.0001472087,0.1229814,0.000119032,0.00009358765,0.000002865558,1.42242e-7,0.000009855528,0.0000864794],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08436222,"threshold_uncertainty_score":0.3365164,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06121458602444819,"score_gpt":0.3603860628722453,"score_spread":0.2991714768477971,"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."}}