{"id":"W2074668474","doi":"10.1090/s0002-9947-2014-05878-9","title":"On prime nonprimitive von Neumann regular algebras","year":2014,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Security Agency","keywords":"Mathematics; Von Neumann architecture; Prime (order theory); Graph; Combinatorics; Field (mathematics); Discrete mathematics; Algebra over a field; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001595894,0.0008484296,0.0009043946,0.001647344,0.002339096,0.00322775,0.001019572,0.001108301,0.01115654],"category_scores_gemma":[0.003232549,0.0004966179,0.001404159,0.001323079,0.003108945,0.005891406,0.002355878,0.002131762,0.002583859],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002462915,"about_ca_system_score_gemma":0.001023565,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001808833,"about_ca_topic_score_gemma":0.001921671,"domain_scores_codex":[0.9984024,0.0004113591,0.00008785998,0.0003453732,0.0004030916,0.0003499089],"domain_scores_gemma":[0.9981911,0.0006819692,0.0002154355,0.0002543948,0.0003686323,0.0002885121],"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":[0.00001913283,0.00001051249,0.00006504543,0.00001721226,0.000002852163,0.00004710759,0.0001221872,0.0004476342,0.0002513152,0.9969864,0.0005994767,0.00143115],"study_design_scores_gemma":[0.000008702609,0.000009385995,0.00007551644,0.000009888112,0.000003777738,0.00004237325,0.00005490219,0.003456868,0.0003176651,0.9937069,0.002305519,0.000008491209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3977573,0.00165191,0.2606912,0.003677669,0.0006377096,0.0001604112,0.001035748,0.001129204,0.3332588],"genre_scores_gemma":[0.9098769,0.0007962456,0.02972986,0.0008036662,0.0004533692,0.0001362008,0.000674229,0.0002513372,0.05727829],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01115654,"threshold_uncertainty_score":0.03732228,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02130536882646002,"score_gpt":0.3147315347297225,"score_spread":0.2934261659032625,"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."}}