{"id":"W1993072650","doi":"10.1016/j.laa.2007.04.022","title":"A Cartan type theorem for finite-dimensional algebras","year":2007,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Isometry (Riemannian geometry); Holomorphic function; Pure mathematics; Morphism; Unital; Unit sphere; Type (biology); Simple (philosophy); Unit (ring theory); Algebra over a field","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004832377,0.0001261758,0.0001587426,0.00005082904,0.0002346908,0.00001596859,0.000111065,0.0001023544,0.0001245181],"category_scores_gemma":[0.0002862268,0.0001064222,0.00004817283,0.0001762719,0.00006120781,0.00004613055,0.0000366711,0.000103749,0.00009523389],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001130136,"about_ca_system_score_gemma":0.00003831439,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001264168,"about_ca_topic_score_gemma":0.000007430535,"domain_scores_codex":[0.9991871,0.00001729766,0.0002399929,0.0002275666,0.0001066134,0.000221488],"domain_scores_gemma":[0.9981771,0.001247325,0.00005843163,0.0002287762,0.0001644149,0.0001239505],"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":[0.00003258387,0.00007199789,0.00004758119,0.0000277519,0.00002251235,7.087559e-7,0.000179498,0.00000137647,0.001829335,0.9953582,0.0009425317,0.001485938],"study_design_scores_gemma":[0.001028103,0.0001811417,0.0003747836,0.00002968354,0.000132016,0.00002523453,0.0003562762,0.002241038,0.01242502,0.8331383,0.1496,0.0004684354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9211172,0.0009726733,0.06929846,0.0007528553,0.0001443349,0.001956289,0.0001335106,0.0002546308,0.005370065],"genre_scores_gemma":[0.9821155,0.00002238643,0.01481967,0.0006182509,0.0003601724,0.00012985,0.00005720988,0.00003963296,0.0018373],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1622199,"threshold_uncertainty_score":0.4339769,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03629765017239273,"score_gpt":0.3174034860745605,"score_spread":0.2811058359021678,"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."}}