{"id":"W1994112470","doi":"10.1016/j.jalgebra.2010.03.028","title":"A dichotomy result for prime algebras of Gelfand–Kirillov dimension two","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Uncountable set; Prime (order theory); Dimension (graph theory); Finitely-generated abelian group; Identity (music); Field (mathematics); Pure mathematics; Quadratic equation; Combinatorics; Algebra over a field; Discrete mathematics","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":[0.001184505,0.0002553952,0.0006969329,0.0002556106,0.00009743807,0.00002915853,0.0005089553,0.0001808803,0.0001608498],"category_scores_gemma":[0.002710514,0.0002038378,0.0003825485,0.0002089642,0.000163103,0.000348318,0.0001061486,0.0007037921,0.000008308604],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005079809,"about_ca_system_score_gemma":0.0001614359,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002799858,"about_ca_topic_score_gemma":0.00001362014,"domain_scores_codex":[0.9974434,0.00006054425,0.001306125,0.0002219942,0.0006111956,0.0003566983],"domain_scores_gemma":[0.9956472,0.001149798,0.001615362,0.0005795811,0.000805782,0.0002022638],"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":[0.0006486024,0.000609268,0.00111238,0.0002367654,0.0003478002,0.00004992121,0.001003633,0.000005168334,0.3023362,0.6785339,0.00750161,0.007614832],"study_design_scores_gemma":[0.003137931,0.000433221,0.0005852439,0.0001551647,0.0001587192,0.0002247122,0.00006736263,0.00005465483,0.1676565,0.8178826,0.009406085,0.0002378276],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9781959,0.0001452643,0.01808037,0.0006357377,0.001356427,0.0004690686,0.00001515417,0.00003484758,0.001067211],"genre_scores_gemma":[0.7476254,0.0000249848,0.2509485,0.0001244659,0.0007863271,0.000008569439,0.000002236062,0.00006611491,0.0004134206],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2328681,"threshold_uncertainty_score":0.8312263,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02866708636604993,"score_gpt":0.3493078179595624,"score_spread":0.3206407315935125,"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."}}