{"id":"W4408361414","doi":"10.1016/j.jmaa.2025.129477","title":"On algebras with locally convex topologies admitting Arens products in their second topological duals","year":2025,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Dual polyhedron; Mathematics; Network topology; Regular polygon; Locally convex topological vector space; Pure mathematics; Topology (electrical circuits); Combinatorics; Computer science; Geometry","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":[0.0008859757,0.0001719972,0.0007285405,0.0004383058,0.0001163687,0.00006538216,0.0002565016,0.00008601899,0.0002430836],"category_scores_gemma":[0.001142027,0.00009860012,0.0001228256,0.001314386,0.0002465672,0.00008980212,0.00008217313,0.0004096973,0.000004882962],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005073631,"about_ca_system_score_gemma":0.00009259747,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.858222e-7,"about_ca_topic_score_gemma":0.00002885667,"domain_scores_codex":[0.9983671,0.0001084632,0.0007563753,0.0002498027,0.0002830055,0.0002352547],"domain_scores_gemma":[0.9968751,0.002100622,0.0002789123,0.0003347277,0.0003146649,0.00009595304],"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":[0.00005839284,0.0006304468,0.001949867,0.0001990087,0.0006052271,0.00001316979,0.0002086846,0.00009659993,0.000364528,0.993592,0.0001882158,0.002093907],"study_design_scores_gemma":[0.0004876697,0.0002014588,0.001973355,0.000145044,0.0003361666,0.00002732204,0.001481349,0.0006357171,0.003793933,0.9905003,0.0002684841,0.0001491532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7931293,0.0001926141,0.2003283,0.003693438,0.000008770397,0.0004641399,0.000006176294,0.00002179468,0.002155527],"genre_scores_gemma":[0.9674701,0.00003822693,0.03172796,0.0001669259,0.00003762868,0.0000721402,0.000001277136,0.000009692756,0.0004760474],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1743409,"threshold_uncertainty_score":0.4020796,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03249588766268418,"score_gpt":0.3421446060948672,"score_spread":0.3096487184321831,"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."}}