{"id":"W4316494460","doi":"10.4153/s000843952300005x","title":"Projective freeness and stable rank of algebras of complex-valued BV functions","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Pure mathematics; Rank (graph theory); Cohomology; Combinatorics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007937781,0.0001597683,0.0004903926,0.000220852,0.0001093974,0.00001426083,0.0001644023,0.0001166258,0.007012838],"category_scores_gemma":[0.001048258,0.0001415438,0.00007384427,0.0003702585,0.0003301293,0.00002286929,0.00005179577,0.0001321172,0.0007897702],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005008831,"about_ca_system_score_gemma":0.0002128975,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009973596,"about_ca_topic_score_gemma":0.0009105731,"domain_scores_codex":[0.998664,0.000124738,0.0004422911,0.000209817,0.000210319,0.0003487866],"domain_scores_gemma":[0.9984304,0.0006804701,0.0001041938,0.000338314,0.0001534753,0.0002931424],"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":[0.00003487756,0.0001136578,0.0002936884,0.001068764,0.0001362385,0.00002915405,0.001979317,0.000004210511,0.001051957,0.9401827,0.05475924,0.0003461373],"study_design_scores_gemma":[0.001958753,0.000282956,0.002480027,0.0006067163,0.0002830965,0.00005984233,0.008547437,0.001634338,0.003593746,0.9606568,0.01919977,0.0006965525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9643731,0.000046004,0.002922404,0.001223886,0.00006132507,0.0007776262,0.0003440284,0.0000950446,0.03015663],"genre_scores_gemma":[0.9922149,0.000005028002,0.003421135,0.0001061051,0.00003038372,0.0000512343,0.00001891389,0.00004275889,0.004109518],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03555947,"threshold_uncertainty_score":0.9999883,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05660314289777775,"score_gpt":0.282551127840899,"score_spread":0.2259479849431213,"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."}}