{"id":"W2051951353","doi":"10.1080/00927870008841085","title":"Quasi-dual rings","year":2000,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Dual (grammatical number); Image (mathematics); Pure mathematics; Computer vision; Computer science; Literature; Art","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":[0.0005617997,0.0003432583,0.0003757309,0.001057081,0.0007780059,0.002235715,0.0004001052,0.0003400965,0.1929279],"category_scores_gemma":[0.001290623,0.0003687149,0.0002977986,0.0006127479,0.0004236596,0.003993443,0.001062312,0.001041714,0.03550069],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004214323,"about_ca_system_score_gemma":0.0003100111,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001537455,"about_ca_topic_score_gemma":0.0002672486,"domain_scores_codex":[0.9996802,0.00004713883,0.00001333441,0.00006481374,0.0001372609,0.00005726937],"domain_scores_gemma":[0.9990997,0.0001636033,0.00005250163,0.0001718785,0.0002853268,0.0002269519],"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":[0.0003943547,0.0001455859,0.0008948631,0.0003087357,0.00001343249,0.0001525126,0.0002267705,0.0004041099,0.01522594,0.7264119,0.1605582,0.09526366],"study_design_scores_gemma":[0.0001757326,0.0001495042,0.003546609,0.00008338859,0.00004180357,0.001119447,0.0002883275,0.003405426,0.02732533,0.4116122,0.5521789,0.00007328971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.07837442,0.001720781,0.08355363,0.003950525,0.002412428,0.0001112423,0.003803642,0.004789812,0.8212835],"genre_scores_gemma":[0.4260235,0.00181858,0.03837927,0.0008837671,0.001060371,0.00009369863,0.0027026,0.001717391,0.5273209],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.1929279,"threshold_uncertainty_score":0.645408,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06839275561963727,"score_gpt":0.332217794010098,"score_spread":0.2638250383904607,"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."}}