{"id":"W1972783413","doi":"10.1016/j.jalgebra.2011.02.026","title":"Cyclic 2-structures and spaces of orderings of power series fields in two variables","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Space (punctuation); Field (mathematics); Equivalence relation; Power series; Equivalence (formal languages); Equivalence class (music); Pure mathematics; Formal power series; Ordered field; Series (stratigraphy); Combinatorics; Discrete 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002057425,0.0009440815,0.0008072201,0.004190611,0.002939638,0.005303663,0.001166873,0.001201691,0.007917892],"category_scores_gemma":[0.002803631,0.0006761782,0.001015152,0.002867623,0.005671967,0.005443838,0.002052174,0.002064852,0.0005439672],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001844995,"about_ca_system_score_gemma":0.001276221,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001808659,"about_ca_topic_score_gemma":0.002004055,"domain_scores_codex":[0.9988324,0.0004104071,0.00008065296,0.0001544701,0.0002079015,0.0003142648],"domain_scores_gemma":[0.9975436,0.001023076,0.0004783147,0.0001839339,0.0002492203,0.0005218352],"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":[0.00003231159,0.0000164543,0.0001927465,0.000007641387,0.000003361379,0.00005692503,0.0002942583,0.0002304134,0.0002600141,0.9973653,0.0001959172,0.001344675],"study_design_scores_gemma":[0.00002013979,0.00001717094,0.0001639049,0.000006106631,0.000003744529,0.0000452931,0.0001458403,0.00104781,0.0002060683,0.9974567,0.0008771229,0.00001014335],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8842806,0.001069423,0.050547,0.002015339,0.0004088598,0.00006289088,0.0003210281,0.0001601347,0.06113457],"genre_scores_gemma":[0.9738768,0.0004280842,0.01112558,0.0003097123,0.0003967852,0.00007026943,0.0003037544,0.00006185291,0.01342708],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007917892,"threshold_uncertainty_score":0.02648795,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04352934252148076,"score_gpt":0.3165970175799206,"score_spread":0.2730676750584398,"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."}}