{"id":"W4401976673","doi":"10.1080/00927872.2024.2389981","title":"On generalized Star-GCD extensions","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Georgian College","funders":"","keywords":"Mathematics; Star (game theory); Pure mathematics; Algebra over a field; Combinatorics; 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":[0.0004534072,0.0001746031,0.0002297207,0.0002877933,0.0002082299,0.0001108622,0.0009845557,0.00009333925,0.0002550806],"category_scores_gemma":[0.0004974756,0.0001610914,0.0001095811,0.0004763611,0.0001607311,0.0001374909,0.0003693763,0.0004781283,0.0004513276],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001060721,"about_ca_system_score_gemma":0.00007367488,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003626334,"about_ca_topic_score_gemma":0.0001751366,"domain_scores_codex":[0.9986802,0.0001941411,0.000411523,0.0002775739,0.0001853475,0.0002511643],"domain_scores_gemma":[0.9958448,0.001280034,0.0000505818,0.002703126,0.00005170916,0.00006974625],"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":[0.000004472623,0.0001975072,0.00003959582,0.00003582155,0.00002592083,0.000007812873,0.0007594528,0.000004734518,0.000290129,0.9796605,0.01496744,0.004006683],"study_design_scores_gemma":[0.0002765881,0.00002882501,0.0005967948,0.0003497265,0.00002834751,0.0000103455,0.0001219936,0.004448816,0.0003042543,0.9511721,0.04242992,0.0002323481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.952347,0.006450152,0.001209064,0.008668151,0.0005137211,0.0005523789,0.00002831193,0.0007190975,0.0295121],"genre_scores_gemma":[0.956463,0.001280479,0.03954998,0.0004894949,0.00006592191,0.000129661,0.00003966612,0.00005988527,0.001921936],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03834092,"threshold_uncertainty_score":0.6569116,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09575038923649179,"score_gpt":0.359050173481421,"score_spread":0.2632997842449292,"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."}}