{"id":"W4417272639","doi":"10.1112/jlms.70319","title":"Polarization and Gorenstein liaison","year":2025,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University; Dalhousie University","funders":"National Science Foundation","keywords":"Square-free integer; Monomial; Vertex (graph theory); Monomial ideal; Polarization (electrochemistry); Homogeneous","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":[0.0005517377,0.0002693476,0.0003405085,0.001134011,0.001334941,0.002021699,0.0004658246,0.0004794567,0.006260933],"category_scores_gemma":[0.001223687,0.0002317479,0.000403819,0.0004904708,0.003473931,0.003126984,0.002975266,0.001464934,0.0004705662],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001056313,"about_ca_system_score_gemma":0.0003894451,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00032607,"about_ca_topic_score_gemma":0.000238018,"domain_scores_codex":[0.9993704,0.0001237022,0.00002327792,0.0001327556,0.0001750038,0.0001749382],"domain_scores_gemma":[0.9993331,0.0001627383,0.0001082411,0.00008182628,0.0001205423,0.0001934508],"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":[0.00003057689,0.00001845718,0.0007407432,0.00002202913,0.000008736723,0.0001145771,0.0003386342,0.0008414338,0.0021242,0.9921476,0.0004204995,0.003192538],"study_design_scores_gemma":[0.00002418546,0.00006054278,0.001743698,0.00003124213,0.0000144925,0.0003238075,0.000613969,0.003623096,0.006379396,0.9790043,0.008155388,0.00002575462],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.8504279,0.0005222893,0.04426949,0.00111146,0.000105229,0.00003870381,0.00008189472,0.0001816342,0.1032614],"genre_scores_gemma":[0.991823,0.0001240964,0.00220884,0.00008679988,0.0000545953,0.00001636006,0.00006512838,0.00001565265,0.005605491],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.006260933,"threshold_uncertainty_score":0.02094489,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02147742586253537,"score_gpt":0.3120544346195492,"score_spread":0.2905770087570138,"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."}}