{"id":"W2094629301","doi":"10.4153/cmb-2008-046-1","title":"On Primitive Ideals in Graded Rings","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Associated prime; Ideal (ethics); Jacobson radical; Prime (order theory); Maximal ideal; Homogeneous; Pure mathematics; Semiprime ring; Ring (chemistry); Graded ring; Prime ideal; Algebra over a field; Combinatorics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001609071,0.00047566,0.0005092453,0.001748539,0.001574393,0.002240075,0.0005331834,0.0003982656,0.005208928],"category_scores_gemma":[0.001867351,0.000359733,0.000506847,0.001100508,0.004145649,0.004876063,0.002175928,0.001155185,0.00101352],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001507324,"about_ca_system_score_gemma":0.0008299371,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001801009,"about_ca_topic_score_gemma":0.001586553,"domain_scores_codex":[0.9992311,0.0002198454,0.00003511673,0.00007541972,0.0002773684,0.000161134],"domain_scores_gemma":[0.9987829,0.000447263,0.0001472702,0.0001099915,0.0002791858,0.0002332921],"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":[0.0000373302,0.00001937802,0.0002683567,0.00006628214,0.000004784577,0.0001879756,0.000459862,0.0004908508,0.001283138,0.9922014,0.001018716,0.003961909],"study_design_scores_gemma":[0.00002351241,0.00004369433,0.0006002933,0.00003203945,0.00001065074,0.0001857541,0.0001786988,0.001995001,0.0009955826,0.9857646,0.01015814,0.00001198708],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4502792,0.0115831,0.1126344,0.004434094,0.00091547,0.0001656731,0.0004400359,0.0003627703,0.4191853],"genre_scores_gemma":[0.9618979,0.003624359,0.01038845,0.0003106332,0.001114756,0.00004118742,0.0001892773,0.00005173849,0.02238161],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005208928,"threshold_uncertainty_score":0.01742566,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04066749803638051,"score_gpt":0.2566160501215416,"score_spread":0.2159485520851611,"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."}}