{"id":"W2405273397","doi":"","title":"Remarks On Group Rings And The Davenport Constant.","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Constant (computer programming); Group (periodic table); Pure mathematics; Algebra over a field; Combinatorics; Physics; Computer science; Quantum mechanics","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":[0.002790259,0.0008350529,0.0007358659,0.001720524,0.00325923,0.002846359,0.001921142,0.003068044,0.03017148],"category_scores_gemma":[0.006047032,0.0003290244,0.0008838341,0.001582408,0.007260516,0.01092514,0.002875316,0.004027664,0.003754966],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001651553,"about_ca_system_score_gemma":0.000707438,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003136835,"about_ca_topic_score_gemma":0.002974154,"domain_scores_codex":[0.9984996,0.0005211625,0.00006546659,0.0002806609,0.0004209841,0.0002120984],"domain_scores_gemma":[0.9954267,0.003173244,0.0002112491,0.0003780532,0.0005266384,0.0002841431],"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":[0.00003012963,0.00001408767,0.000119431,0.00007224437,0.0000113151,0.0001161497,0.0002706838,0.0001435511,0.0001217608,0.9469349,0.04866377,0.003501853],"study_design_scores_gemma":[0.00001721663,0.00001665083,0.000511946,0.00006204412,0.000009858584,0.0001185489,0.0002732335,0.0001762973,0.0001802317,0.8764951,0.1221241,0.00001474869],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.01301223,0.0312103,0.03178249,0.2576031,0.01465908,0.00004497026,0.001029661,0.0004667878,0.6501913],"genre_scores_gemma":[0.5623645,0.03905438,0.03600698,0.1300225,0.03147328,0.0002965549,0.0009307117,0.0005489175,0.1993021],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03017148,"threshold_uncertainty_score":0.1009337,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02692263855745623,"score_gpt":0.2442949397086362,"score_spread":0.21737230115118,"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."}}