{"id":"W2003218494","doi":"10.1142/s0219498811004616","title":"ON SEMITRANSITIVE JORDAN ALGEBRAS OF MATRICES","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Jordan algebra; Pure mathematics; Algebraically closed field; Vector space; Triangular matrix; Division algebra; Algebra representation; Nilpotent matrix; Algebra over a field; Field (mathematics); Universal enveloping algebra; Jordan matrix; Invertible matrix; Eigenvalues and eigenvectors; Square matrix; Symmetric matrix","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":[0.0009898999,0.0004347401,0.000441393,0.001216974,0.00109548,0.001760687,0.0005988768,0.0003936848,0.004216385],"category_scores_gemma":[0.001771723,0.0002543173,0.0007108742,0.0008421908,0.002317783,0.002752563,0.0012828,0.000796011,0.0007527465],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005895281,"about_ca_system_score_gemma":0.000604767,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005500063,"about_ca_topic_score_gemma":0.0004919929,"domain_scores_codex":[0.999119,0.0002004726,0.00005840126,0.0001161277,0.0003591458,0.0001469094],"domain_scores_gemma":[0.9988808,0.0002536801,0.0002338605,0.0001132408,0.0003020216,0.0002163921],"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":[0.00006762207,0.00006749566,0.0003983115,0.00006428863,0.00001349043,0.0003238043,0.0005944137,0.003277673,0.00736265,0.9807394,0.000453524,0.006637444],"study_design_scores_gemma":[0.00002534052,0.0001562128,0.0004626913,0.00002833047,0.00001601042,0.0004990131,0.000337944,0.03440258,0.006733856,0.9527111,0.004593175,0.0000337485],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7585598,0.001017365,0.1718892,0.000334387,0.0001756416,0.0001628777,0.0002091666,0.0003128674,0.06733863],"genre_scores_gemma":[0.9738592,0.0006435235,0.01684702,0.0001129741,0.0002309733,0.00009235273,0.0002081411,0.0000389076,0.007966867],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004216385,"threshold_uncertainty_score":0.0141052,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04078186931508734,"score_gpt":0.3050531516568495,"score_spread":0.2642712823417622,"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."}}