{"id":"W2962932512","doi":"10.70930/tac/jemgq3ky","title":"On the iteration of weak wreath products","year":2012,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Hungarian Scientific Research Fund","keywords":"Wreath product; Mathematics; Hopf algebra; Associative property; Combinatorics; Functor; Distributive property; Commutative property; K-theory (physics); Morphism; Pure mathematics; Product (mathematics); Discrete mathematics; Algebra over a field; Cohomology","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00351019,0.0006884381,0.00082785,0.002331185,0.001803074,0.003260174,0.001377454,0.0007005102,0.005523808],"category_scores_gemma":[0.003834435,0.0008024609,0.00236953,0.001068031,0.005412385,0.008262665,0.005742292,0.002455476,0.001125527],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001258912,"about_ca_system_score_gemma":0.0006689883,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007079034,"about_ca_topic_score_gemma":0.0005697645,"domain_scores_codex":[0.9968529,0.0009641123,0.0001930226,0.0006910139,0.0008794304,0.000419641],"domain_scores_gemma":[0.9978468,0.0008009707,0.000147871,0.0005399784,0.0004355249,0.0002288884],"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":[0.00002064825,0.00001661075,0.0002484879,0.00002921857,0.00001251246,0.00009738807,0.0006107824,0.0008092452,0.001336252,0.9900025,0.00023185,0.006584499],"study_design_scores_gemma":[0.00001118676,0.00007164516,0.0002532195,0.00002124505,0.00001573777,0.0002002329,0.00016668,0.01017889,0.003739572,0.9725028,0.01280992,0.00002887172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1503702,0.000930129,0.7684045,0.0004544233,0.0002435871,0.0001090579,0.000148127,0.000725915,0.07861403],"genre_scores_gemma":[0.6925319,0.0005965783,0.2669826,0.0003692596,0.0002998887,0.0003402864,0.00026772,0.0005978273,0.03801384],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005523808,"threshold_uncertainty_score":0.01856387,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01849265255906521,"score_gpt":0.2686676565209157,"score_spread":0.2501750039618504,"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."}}