{"id":"W2594491092","doi":"10.5539/jmr.v9n2p9","title":"On Commutativity of Semiprime Rings with Multiplicative (Generalized)-derivations","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Commutative property; Multiplicative function; Semiprime ring; Pure mathematics; Semiprime; Algebra over a field; Discrete mathematics; Mathematical analysis; Combinatorics; Prime (order theory)","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.003127752,0.0001598691,0.0005479698,0.0002887945,0.000473078,0.0000902852,0.001170685,0.00008595257,0.0000636495],"category_scores_gemma":[0.009289064,0.0001125386,0.0001138072,0.0001461911,0.0006274083,0.0002785214,0.0002734193,0.0009114463,0.00001187547],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000133569,"about_ca_system_score_gemma":0.0001587004,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008755598,"about_ca_topic_score_gemma":0.00001387442,"domain_scores_codex":[0.9972222,0.0001926975,0.0007139235,0.0001417614,0.001427357,0.0003021017],"domain_scores_gemma":[0.9911911,0.004326133,0.001588689,0.001223986,0.001542875,0.0001272265],"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":[0.000112068,0.00127776,0.0005706961,0.000456511,0.0002169562,0.00003337182,0.004031423,0.00004443794,0.007023711,0.9842693,0.001274753,0.0006890649],"study_design_scores_gemma":[0.001063303,0.0004910667,0.0006988139,0.0007079701,0.00002670061,0.00005552313,0.000684048,0.0003498564,0.04547828,0.9501796,0.0001452737,0.00011956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9470118,0.00002427058,0.04312471,0.0009375635,0.00004616722,0.0003574167,0.00001033421,0.00001182024,0.00847595],"genre_scores_gemma":[0.7124717,0.00002702823,0.2868263,0.000008446953,0.0000588076,0.00001028377,3.222125e-7,0.00003452121,0.0005625806],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2437016,"threshold_uncertainty_score":0.9990561,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2725560036344437,"score_gpt":0.5084783652851098,"score_spread":0.2359223616506661,"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."}}