{"id":"W2012184402","doi":"10.1142/s0218196703001304","title":"THE RENNER MONOIDS AND CELL DECOMPOSITIONS OF THE SYMPLECTIC ALGEBRAIC MONOIDS","year":2003,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Monoid; Section (typography); Lattice (music); Algebraic number; Group (periodic table); Symplectic geometry; Intersection (aeronautics); Combinatorics; Pure mathematics; Mathematical analysis","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":[0.0003222463,0.00009996588,0.0001422765,0.0001048215,0.0001739214,0.00006887478,0.0001911316,0.00004055153,0.000007559007],"category_scores_gemma":[0.0002348177,0.00006077995,0.00008660987,0.0001439955,0.0001085962,0.0001739849,0.00004577151,0.0001661076,6.900077e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003075234,"about_ca_system_score_gemma":0.00005005833,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001204866,"about_ca_topic_score_gemma":0.000004468551,"domain_scores_codex":[0.9989287,0.0001112569,0.0004456274,0.00009116893,0.0003226147,0.0001006689],"domain_scores_gemma":[0.998279,0.0007380494,0.0004735143,0.00008404723,0.0003769355,0.00004848404],"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":[0.0001459141,0.0003651724,0.01073704,0.00006552074,0.000491608,0.00001408521,0.001860981,0.00133325,0.006528676,0.9432044,0.001333935,0.0339194],"study_design_scores_gemma":[0.0007925186,0.0001125438,0.009823174,0.00006350486,0.00006403241,0.0002633754,0.0003517456,0.0009501096,0.006069307,0.9811631,0.0002552469,0.00009130443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9574621,0.0007027337,0.03997831,0.0008618251,0.000491458,0.00008310388,0.000002777782,0.000005773102,0.0004118842],"genre_scores_gemma":[0.9960632,0.0001541856,0.003540676,0.00008899395,0.00007066003,0.000001876762,7.826141e-7,0.00000987212,0.00006977064],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03860104,"threshold_uncertainty_score":0.2478534,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01217869798766513,"score_gpt":0.2910119119142206,"score_spread":0.2788332139265555,"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."}}