{"id":"W2092331204","doi":"10.4153/cmb-2005-009-4","title":"On the Ranges of Bimodule Projections","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Toronto; National and Kapodistrian University of Athens; National Science Foundation","keywords":"Bimodule; Mathematics; Idempotence; Symbol (formal); Pure mathematics; Algebra over a field; Calculus (dental); Linguistics","routes":{"ca_aff":false,"ca_fund":true,"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":[0.002209565,0.0003266855,0.0005687149,0.001507548,0.001448114,0.002971381,0.0007140352,0.0006018838,0.003448695],"category_scores_gemma":[0.003171097,0.0003437128,0.0006794691,0.0008047854,0.004583377,0.007279974,0.002651204,0.00205051,0.0006945139],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008762088,"about_ca_system_score_gemma":0.000627299,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005015482,"about_ca_topic_score_gemma":0.0003065627,"domain_scores_codex":[0.9980855,0.0004077397,0.000116218,0.0002902734,0.0008277737,0.0002725613],"domain_scores_gemma":[0.9978259,0.0009260908,0.0001344528,0.0002255792,0.0005858991,0.0003020126],"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":[0.00001734693,0.00001255601,0.0001827393,0.00001876958,0.000002845401,0.0001166585,0.0004456078,0.0003590963,0.001713551,0.9926224,0.0002212189,0.004287232],"study_design_scores_gemma":[0.000007189017,0.0000308091,0.0002415147,0.00001641485,0.00000483095,0.0001966589,0.000268667,0.003353742,0.002200991,0.9869769,0.006687384,0.00001496589],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4635487,0.002328515,0.324053,0.001722838,0.0003788546,0.0001065309,0.0003191307,0.0006569062,0.2068855],"genre_scores_gemma":[0.9613407,0.0006702754,0.02669725,0.0002144387,0.0002635944,0.00007902954,0.0001187441,0.0001131686,0.01050282],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003448695,"threshold_uncertainty_score":0.01168543,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05071251566182052,"score_gpt":0.3168795781888025,"score_spread":0.266167062526982,"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."}}