{"id":"W4400644910","doi":"10.1134/s0001434624050328","title":"On $$\\mathfrak{L}_{\\infty}$$-Liftings of the Gelfand–Naimark Morphism","year":2024,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Strathcona Community Hospital","funders":"","keywords":"Morphism; Mathematics; Combinatorics; Pure mathematics; Physics; Algebra over a field","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001153284,0.0009747903,0.0006435001,0.002320633,0.002566673,0.002599411,0.0009203084,0.001098636,0.009282127],"category_scores_gemma":[0.002053538,0.0005683965,0.001416985,0.0007245672,0.003951725,0.005311979,0.004111249,0.003362083,0.002281398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001782992,"about_ca_system_score_gemma":0.0008937995,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002048564,"about_ca_topic_score_gemma":0.001285642,"domain_scores_codex":[0.9988996,0.0001562292,0.0000387715,0.0002451283,0.0003006699,0.0003595107],"domain_scores_gemma":[0.9990425,0.0001695625,0.000162389,0.0001086682,0.0001661185,0.000350696],"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":[0.00002426704,0.00002099931,0.0002044796,0.0000227621,0.000005966696,0.000162756,0.0003496838,0.0002105497,0.001157475,0.9939917,0.0005286644,0.003320704],"study_design_scores_gemma":[0.00002265958,0.00004060928,0.00106448,0.00004094715,0.000009832697,0.0003235514,0.0003141391,0.00261112,0.001647465,0.9854446,0.008445319,0.00003526867],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5815178,0.001214688,0.191765,0.002808102,0.0008916489,0.0001374076,0.0005145594,0.0005070382,0.2206438],"genre_scores_gemma":[0.8948627,0.00107452,0.04159667,0.0007707365,0.0005808807,0.0001809266,0.0005119515,0.0004152413,0.06000645],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009282127,"threshold_uncertainty_score":0.03105187,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03012123474911964,"score_gpt":0.3163280293125917,"score_spread":0.2862067945634721,"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."}}