{"id":"W2135934483","doi":"10.13140/rg.2.2.15568.62724","title":"On the Divided Power Structures in Super-Rings","year":2014,"lang":"en","type":"article","venue":"Scholarship at UWindsor (University of Windsor)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Windsor","funders":"","keywords":"Mathematics; Sierpinski triangle; Ring (chemistry); Commutative ring; Power (physics); Pure mathematics; Ideal (ethics); Principal ideal ring; Von Neumann regular ring; Local ring; Triangular matrix; Structured program theorem; Noncommutative ring; Maximal ideal; Commutative property; Mathematical analysis; Physics; Quantum mechanics; Fractal; Law","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":[0.00105217,0.0003663336,0.0003134042,0.001066836,0.001228687,0.001465852,0.0004368873,0.0004781641,0.00527903],"category_scores_gemma":[0.002110804,0.0002767747,0.000319668,0.000775094,0.004125567,0.006108559,0.001576793,0.001055275,0.000529817],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007599424,"about_ca_system_score_gemma":0.0002607981,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005215147,"about_ca_topic_score_gemma":0.0004583531,"domain_scores_codex":[0.9995029,0.0001878434,0.00002003057,0.0001015092,0.0001156639,0.00007200308],"domain_scores_gemma":[0.9986418,0.0006741798,0.0001631274,0.0001816593,0.0001686987,0.0001705698],"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":[0.00001632484,0.000006205919,0.0001807885,0.00001535822,0.000001902021,0.0000650039,0.0002907474,0.0004343575,0.0005865726,0.9953934,0.0003634414,0.002645919],"study_design_scores_gemma":[0.000005623906,0.00001581858,0.0002527894,0.00001054718,0.000002437834,0.00009716465,0.0001583253,0.001974285,0.0004351591,0.9943832,0.002658891,0.000005740694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7028448,0.002732287,0.1341484,0.003751827,0.0002542894,0.00003379069,0.0001796887,0.0001364121,0.1559185],"genre_scores_gemma":[0.9794173,0.0007305834,0.01084883,0.0002327821,0.0002479924,0.00002180724,0.00007667032,0.00002313104,0.008400884],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00527903,"threshold_uncertainty_score":0.01766014,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02428447214589053,"score_gpt":0.2335883618978327,"score_spread":0.2093038897519421,"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."}}