{"id":"W2962883032","doi":"10.2140/pjm.2013.263.257","title":"Realizations of<i>BC</i><sub><i>r</i></sub>-graded intersection matrix algebras with grading subalgebras of type<i>B</i><sub><i>r</i></sub>,<i>r</i>≥ 3","year":2013,"lang":"he","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Natural Sciences and Engineering Research Council of Canada","funders":"","keywords":"Mathematics; Intersection (aeronautics); Pure mathematics; Combinatorics; Algebra over a field; Type (biology)","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":["metaepi_narrow"],"category_scores_codex":[0.00237889,0.001402476,0.003198965,0.001423095,0.0003566615,0.0002358418,0.001436075,0.0008177854,0.0002211838],"category_scores_gemma":[0.002025991,0.001244356,0.001002748,0.002592859,0.001035581,0.001322212,0.0003420874,0.001918551,0.0002166427],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005613167,"about_ca_system_score_gemma":0.000769151,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000206537,"about_ca_topic_score_gemma":0.00003115258,"domain_scores_codex":[0.988973,0.0005903699,0.005816814,0.0007852499,0.002505382,0.001329242],"domain_scores_gemma":[0.9817285,0.00260607,0.009186802,0.001895197,0.003871858,0.0007115596],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0004216489,0.004544361,0.001360006,0.0109183,0.003343331,0.0001781556,0.02048582,0.0007926468,0.751798,0.1941462,0.008803276,0.003208227],"study_design_scores_gemma":[0.002691904,0.001657159,0.00009600402,0.005524459,0.001931392,0.001869884,0.01507334,0.0009956402,0.687134,0.2816208,0.0001790033,0.001226424],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9088173,0.001597992,0.08341051,0.0003161563,0.001838386,0.001719376,0.00007985984,0.0001221305,0.00209829],"genre_scores_gemma":[0.9480562,0.003137654,0.04753729,0.00004890532,0.0005685534,0.00003634114,0.00002451661,0.0004326651,0.0001578743],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08747461,"threshold_uncertainty_score":0.9998726,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02089505858145534,"score_gpt":0.2665974836682093,"score_spread":0.2457024250867539,"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."}}