{"id":"W4386245287","doi":"10.1007/s10474-023-01355-1","title":"Certain invariant multiplicative subset of a simple Artinian ring with involution. II","year":2023,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Involution (esoterism); Multiplicative function; Automorphism; Commutative ring; Commutative property; Pure mathematics; Invariant (physics); Discrete mathematics; Combinatorics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002428234,0.000470228,0.0008474282,0.0005844499,0.0007123846,0.00008852932,0.001133847,0.0003223594,0.0001827729],"category_scores_gemma":[0.00245107,0.0003735154,0.0002100276,0.002351246,0.0005901079,0.0005391621,0.0007660156,0.0007423423,0.0001875254],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001077663,"about_ca_system_score_gemma":0.0001676102,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002945329,"about_ca_topic_score_gemma":0.00004584415,"domain_scores_codex":[0.9956169,0.0001682182,0.001153191,0.0008773287,0.001112538,0.001071828],"domain_scores_gemma":[0.9962339,0.00115706,0.0008643047,0.001176736,0.0002308108,0.0003371919],"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":[0.0001972331,0.001975734,0.005360639,0.002861904,0.000912983,0.00005455572,0.05130315,0.0001020116,0.1776135,0.6638501,0.09430897,0.001459182],"study_design_scores_gemma":[0.003149845,0.0005292799,0.01263418,0.001331072,0.0005608897,0.0001029866,0.006505088,0.03397229,0.08933207,0.8416048,0.008335755,0.00194177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9883462,0.00003476426,0.003188878,0.002512068,0.0001055128,0.001038782,0.00006764857,0.0005750612,0.004131134],"genre_scores_gemma":[0.9793702,0.00002450718,0.01821629,0.0001188901,0.00009230957,0.0001557485,0.00003527537,0.00009714192,0.001889613],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1777547,"threshold_uncertainty_score":0.9998717,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04809151317406379,"score_gpt":0.3007030640738171,"score_spread":0.2526115508997533,"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."}}