{"id":"W4401252641","doi":"10.1007/s12215-024-01105-4","title":"Nonassociative cyclic algebras and the semiassociative Brauer monoid","year":2024,"lang":"en","type":"article","venue":"Rendiconti del Circolo Matematico di Palermo Series 2","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monoid; Mathematics; Associative property; Pure mathematics; Algebra over a field; Differential algebra","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001111999,0.0005585033,0.001128893,0.0001401187,0.0004729433,0.0005666853,0.0004474623,0.0003442075,0.0001983521],"category_scores_gemma":[0.001002282,0.0003717751,0.0003404758,0.0004621747,0.0005245607,0.0005427502,0.0002779659,0.0005568559,0.00005852187],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002343597,"about_ca_system_score_gemma":0.0001196143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004491016,"about_ca_topic_score_gemma":0.00004080692,"domain_scores_codex":[0.9965741,0.0005370764,0.000925247,0.0006212707,0.000679711,0.0006625826],"domain_scores_gemma":[0.9959515,0.002724333,0.0004540767,0.0005603421,0.0001499429,0.000159778],"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":[0.00009420476,0.00004303937,0.0004214504,0.000792584,0.0009035736,0.00003309537,0.01009514,0.000001660426,0.00008670618,0.9835452,0.003394412,0.0005888964],"study_design_scores_gemma":[0.001516475,0.00008388678,0.002696389,0.0004525134,0.0004620567,0.00005420683,0.001848137,0.0006214621,0.0005483226,0.9906883,0.0005329013,0.0004953131],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9688731,0.006498583,0.001371137,0.003891555,0.002482169,0.002425035,0.0001087184,0.0008538853,0.01349586],"genre_scores_gemma":[0.9951162,0.0004135144,0.0003462867,0.0002495815,0.0003218915,0.0003955703,0.00001347809,0.0001084561,0.003035027],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02624314,"threshold_uncertainty_score":0.9998734,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01514726046971725,"score_gpt":0.2705857502047289,"score_spread":0.2554384897350117,"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."}}