{"id":"W2088673438","doi":"10.1090/s0002-9939-08-09673-1","title":"Invariant subspaces of super left-commutants","year":2008,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Linear subspace; Invariant (physics); Mathematics; Pure mathematics; Physics; Mathematical physics","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":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0008761968,0.0005702195,0.001789523,0.00005178719,0.0003519859,0.0000323532,0.00177847,0.0002028437,0.0002494659],"category_scores_gemma":[0.002384599,0.0004077229,0.001127205,0.0009160055,0.004968467,0.0002875608,0.00109877,0.0007989664,0.00003520868],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001612147,"about_ca_system_score_gemma":0.000147834,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002660858,"about_ca_topic_score_gemma":0.000001031252,"domain_scores_codex":[0.9958956,0.00004058775,0.001477993,0.0005133197,0.001325481,0.0007470292],"domain_scores_gemma":[0.9949557,0.001137311,0.002347679,0.0007024124,0.0006556477,0.0002012566],"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":[0.0001287346,0.00269269,0.01986132,0.007504192,0.001413494,0.000003228009,0.0588262,0.000003353303,0.06358989,0.8335438,0.01192771,0.0005054235],"study_design_scores_gemma":[0.0008603653,0.0003760923,0.00322174,0.00137604,0.0005644903,0.000220056,0.01995181,0.001157864,0.09777156,0.8734848,0.000237097,0.0007780516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9888164,0.0001760087,0.001038651,0.001634597,0.0001031207,0.0007391301,0.00004541082,0.00007889216,0.007367829],"genre_scores_gemma":[0.8660672,0.0005149308,0.1318299,0.000231289,0.000121959,0.00001652648,5.387874e-7,0.0001072961,0.001110334],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1307913,"threshold_uncertainty_score":0.9998375,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0335496551465181,"score_gpt":0.2855899442468164,"score_spread":0.2520402891002984,"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."}}