{"id":"W4384523835","doi":"10.28924/2291-8639-21-2023-69","title":"A Note on Skew Generalized Power Serieswise Reversible Property","year":2023,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Nilpotent; Skew; Pure mathematics; Bounded function; Property (philosophy); Locally nilpotent; Ring (chemistry); Element (criminal law); Ideal (ethics); Von Neumann regular ring; Abelian group; Discrete mathematics; Combinatorics; Mathematical analysis; Nilpotent group; Law; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003197307,0.00009141312,0.0002278212,0.0004928411,0.0000834795,0.00007826684,0.0002657532,0.00003615527,0.0001414495],"category_scores_gemma":[0.00008436162,0.00006049543,0.0002319094,0.0005763019,0.00003755378,0.0001164397,0.00004842707,0.0001088509,0.00003614437],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003866761,"about_ca_system_score_gemma":0.0000362273,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001755359,"about_ca_topic_score_gemma":0.00001857988,"domain_scores_codex":[0.9989685,0.00002594143,0.0003856918,0.0001374477,0.0003839196,0.00009854179],"domain_scores_gemma":[0.9989731,0.0001143582,0.0003029371,0.0001610937,0.0003721419,0.00007640628],"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":[0.0004993342,0.001737613,0.01373157,0.00008991297,0.01416454,0.0001633698,0.003365892,0.001863054,0.01937424,0.7792991,0.1020227,0.06368874],"study_design_scores_gemma":[0.002616327,0.0002681194,0.02828264,0.0001811836,0.002497567,0.0001211766,0.0006180362,0.003606,0.006594584,0.4947981,0.4597063,0.000709985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8989736,0.0001253455,0.07872246,0.01513591,0.0002665881,0.0003235986,0.00007387131,0.00009142965,0.006287194],"genre_scores_gemma":[0.9860882,0.0005747618,0.007523232,0.0004638548,0.0004006066,0.00002667856,0.00002221277,0.00001759261,0.004882887],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3576837,"threshold_uncertainty_score":0.2466932,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03051003223666749,"score_gpt":0.3201839186429061,"score_spread":0.2896738864062386,"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."}}