{"id":"W4315574855","doi":"10.1142/s0219498825500094","title":"Normality and associated primes of closed neighborhood ideals and dominating ideals","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Normality; Bipartite graph; Torsion (gastropod); Associated prime; Monomial ideal; Combinatorics; Monomial; Pure mathematics; Discrete mathematics; Graph; Polynomial ring; Polynomial; Mathematical analysis; Prime (order theory); Statistics","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":[0.001067294,0.0003062536,0.0005550825,0.001069894,0.001398666,0.002035391,0.0005862092,0.0003916523,0.004108052],"category_scores_gemma":[0.003840577,0.0003174688,0.0005328887,0.0004601688,0.004101448,0.004467986,0.001832556,0.001475869,0.0006108411],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009381223,"about_ca_system_score_gemma":0.0006258923,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005704005,"about_ca_topic_score_gemma":0.0005000086,"domain_scores_codex":[0.9988669,0.0001924656,0.00008138762,0.0003116763,0.0003472712,0.0002003374],"domain_scores_gemma":[0.9968862,0.001231499,0.0003865619,0.0002554139,0.0006599558,0.0005804299],"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":[0.0001350025,0.00003911193,0.00217691,0.00004949169,0.000008446103,0.0002767455,0.0006161025,0.000807637,0.005181702,0.9844779,0.0006221898,0.005608845],"study_design_scores_gemma":[0.00003928839,0.00008250375,0.001515712,0.0000164378,0.00001342066,0.0006954085,0.0005689191,0.007880447,0.00894362,0.9752818,0.004928061,0.00003446521],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8123584,0.0005045382,0.1230033,0.0009130489,0.0002310943,0.00009991643,0.0004634405,0.0002930664,0.06213317],"genre_scores_gemma":[0.98147,0.0001767279,0.01149694,0.00007429466,0.0001962304,0.00004313168,0.0003077273,0.00005628716,0.006178694],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004108052,"threshold_uncertainty_score":0.01374274,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03775178616960688,"score_gpt":0.3351878345995634,"score_spread":0.2974360484299565,"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."}}