{"id":"W4414393183","doi":"10.4153/s0008439525101276","title":"On the central exponent of superalgebras with superinvolution","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fundação de Amparo à Pesquisa do Estado de Minas Gerais; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Dimension (graph theory); Modulo; Multilinear map; Field (mathematics); Zero (linguistics); Degree (music); Multilinear algebra; Matrix (chemical analysis)","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000235369,0.0001824244,0.0002723342,0.0001170976,0.0001303217,0.00002299883,0.0003162271,0.00008829808,0.006275249],"category_scores_gemma":[0.00124969,0.00011702,0.00007311128,0.000201774,0.000239254,0.00001770713,0.00003332915,0.0002245601,0.0004008067],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002414299,"about_ca_system_score_gemma":0.0002121857,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002590133,"about_ca_topic_score_gemma":0.0009173166,"domain_scores_codex":[0.9986892,0.00007333782,0.0003321168,0.0002131637,0.0002390282,0.0004531162],"domain_scores_gemma":[0.9979784,0.001124123,0.00005313591,0.0005708434,0.0000720222,0.0002014151],"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":[0.00001425434,0.00005689589,0.00005505157,0.0001195275,0.00003324752,0.000009586735,0.0001866035,0.000002364088,0.00004612618,0.9867114,0.01264846,0.0001164304],"study_design_scores_gemma":[0.000233201,0.00005624096,0.0002228277,0.0003027289,0.00002895484,0.000006034629,0.0002411338,0.00003619908,0.001420311,0.9884492,0.008870989,0.0001322158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9184392,0.00004063071,0.01896735,0.01971892,0.0001003505,0.000709052,0.00001982281,0.00006020267,0.04194449],"genre_scores_gemma":[0.9870631,0.000002764236,0.008355661,0.001043971,0.00002873841,0.00006132262,0.000002673113,0.00002697033,0.003414823],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06862389,"threshold_uncertainty_score":0.9946331,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01999566372974984,"score_gpt":0.2519155488301165,"score_spread":0.2319198851003667,"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."}}