{"id":"W2029121042","doi":"10.1016/j.aim.2005.04.013","title":"Projectively simple rings","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Automorphism; Subvariety; Conjecture; Pure mathematics; Abelian group; Simple (philosophy); Invariant (physics); Abelian variety; Projective variety; Noetherian; Line bundle; Variety (cybernetics); Combinatorics; Algebra over a field","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005686984,0.0005466523,0.0005450649,0.0008976468,0.001464792,0.002886536,0.0004311054,0.0006020901,0.01110708],"category_scores_gemma":[0.001447336,0.0003962098,0.0003365037,0.001043816,0.002958635,0.004160365,0.001433697,0.002440122,0.001940885],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008367925,"about_ca_system_score_gemma":0.0004706411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000385589,"about_ca_topic_score_gemma":0.0003732626,"domain_scores_codex":[0.9994798,0.0001378791,0.00002114677,0.0001250507,0.0001913526,0.00004479961],"domain_scores_gemma":[0.9994519,0.0002061932,0.00006628558,0.00009457783,0.0001115472,0.0000695739],"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":[0.00001057632,0.000008322489,0.00009498416,0.00001940307,0.000004025369,0.00002290843,0.000119802,0.0001362854,0.0003563355,0.9929538,0.002556515,0.00371705],"study_design_scores_gemma":[0.00001097332,0.00001240814,0.0003040243,0.000005955169,0.00000861589,0.000143625,0.00004602389,0.0004017684,0.0003862161,0.9750919,0.02358283,0.000005571608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1386901,0.00992504,0.07856309,0.01094237,0.001249861,0.00005650327,0.0007540426,0.0005768046,0.7592422],"genre_scores_gemma":[0.878756,0.005336118,0.01456759,0.0009545087,0.002178814,0.00005955255,0.0006329715,0.00007903663,0.09743541],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01110708,"threshold_uncertainty_score":0.03715688,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02266470393470485,"score_gpt":0.3311358569899209,"score_spread":0.3084711530552161,"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."}}