{"id":"W2042675474","doi":"10.1142/s0219498806001879","title":"NORMALITY OF f-UNITARY UNITS IN AN ALTERNATIVE LOOP RING","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Loop (graph theory); Mathematics; Unitary state; Ring (chemistry); Homomorphism; Unit (ring theory); Combinatorics; Associative property; Pure mathematics; Discrete mathematics","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":[0.0003757096,0.00008826083,0.0002286003,0.0001461908,0.00006220586,0.00001716091,0.0001886044,0.00004187841,0.00002185879],"category_scores_gemma":[0.00005179174,0.00007600047,0.00003481199,0.0003347508,0.00003764286,0.0001895391,0.00003251012,0.0001446896,0.000001595451],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001809717,"about_ca_system_score_gemma":0.00004424737,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002159117,"about_ca_topic_score_gemma":0.0000441819,"domain_scores_codex":[0.9989776,0.00003191311,0.000635153,0.00008875522,0.0001633922,0.0001032138],"domain_scores_gemma":[0.9986521,0.0002334253,0.0005019039,0.0001788478,0.0003698477,0.00006388116],"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":[0.000008138879,0.0006521395,0.001169611,0.0001408222,0.00002490471,0.000001666834,0.0005483628,0.00006160577,0.004934834,0.9909658,0.0004045135,0.001087628],"study_design_scores_gemma":[0.0009106042,0.0001347443,0.0100535,0.0001560475,0.0001044754,0.00006943059,0.000859256,0.003565681,0.01239954,0.9697559,0.001749009,0.0002417747],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9891585,0.0001987919,0.008401812,0.0002039886,0.00001022246,0.0002499905,0.0000172172,0.00000703743,0.001752496],"genre_scores_gemma":[0.9927337,0.00006704152,0.00696417,0.00001711358,0.00009513063,0.00002599502,0.000004131165,0.00001090397,0.00008185404],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02120984,"threshold_uncertainty_score":0.3099209,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05183448079260598,"score_gpt":0.3218638188396683,"score_spread":0.2700293380470623,"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."}}