{"id":"W4412791628","doi":"10.1016/j.laa.2025.07.027","title":"Group gradings on finite-dimensional incidence algebras. II","year":2025,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Incidence (geometry); Group (periodic table); Pure mathematics; Algebra over a field; Finite group; Geometry","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":[],"consensus_categories":[],"category_scores_codex":[0.00016904,0.0002161014,0.0002378544,0.0001519043,0.0005498329,0.00002755327,0.0002720947,0.0001287751,0.00008055799],"category_scores_gemma":[0.0004325436,0.0002050391,0.00006365177,0.0004670241,0.00009443609,0.0001256117,0.0002384247,0.0003029259,0.00008432054],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004130903,"about_ca_system_score_gemma":0.00003875647,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002339518,"about_ca_topic_score_gemma":0.00000558766,"domain_scores_codex":[0.9986724,0.00002723206,0.0003586313,0.0004638793,0.0002209425,0.0002568871],"domain_scores_gemma":[0.9982135,0.0009947069,0.0001136119,0.0004710054,0.0001041586,0.0001030484],"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":[0.000008956087,0.0001525706,0.00004871902,0.00004783529,0.00002501373,9.75622e-7,0.0000789652,0.000002762707,0.0007832779,0.9942594,0.00212963,0.002461956],"study_design_scores_gemma":[0.0003108487,0.00005781692,0.0001703418,0.00007090215,0.00003787367,0.000004004622,0.00002249207,0.0007462961,0.003223093,0.9462916,0.04886597,0.0001987681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8621194,0.001175412,0.1142706,0.006295147,0.0003256167,0.002146249,0.00009442708,0.0006953229,0.01287782],"genre_scores_gemma":[0.9341009,0.0001440452,0.05205831,0.002987461,0.0003031349,0.0006647687,0.00006191158,0.0000543514,0.009625157],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07198144,"threshold_uncertainty_score":0.8361253,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02426987450464638,"score_gpt":0.3155315850127196,"score_spread":0.2912617105080731,"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."}}