{"id":"W2039641423","doi":"10.1016/j.jalgebra.2005.11.012","title":"On seminormal monoid rings","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Monoid; Mathematics; Affine transformation; Ring (chemistry); Pure mathematics; Local cohomology; Free monoid; Syntactic monoid; Combinatorics; Chemistry; Finitely-generated abelian group","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":[0.0002928528,0.0000970471,0.0001855724,0.0001144775,0.00007060199,0.00002712305,0.0002294099,0.00003923025,0.0004050882],"category_scores_gemma":[0.0001887748,0.00007562304,0.0001213037,0.0001117918,0.00002811834,0.0001985893,0.00003210533,0.0002668365,0.0001134308],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005526463,"about_ca_system_score_gemma":0.00003591008,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.534433e-7,"about_ca_topic_score_gemma":0.000002338317,"domain_scores_codex":[0.9991307,0.00002807976,0.0003972138,0.00006708977,0.0002395627,0.0001373515],"domain_scores_gemma":[0.9988729,0.0003854371,0.0003330134,0.0001846741,0.0001319929,0.00009197098],"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":[0.00008132019,0.000515533,0.0003436654,0.00002120772,0.0001238967,0.00001324772,0.001819153,0.00004566886,0.00329652,0.8633892,0.0976659,0.0326847],"study_design_scores_gemma":[0.00149434,0.0006454925,0.005944167,0.0001307843,0.0001217766,0.0003198593,0.0002898105,0.0002769827,0.03188923,0.892059,0.06650323,0.0003253817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9814368,0.000109872,0.002890647,0.002826461,0.00005835841,0.00006869525,0.000001744233,0.0000179784,0.01258942],"genre_scores_gemma":[0.9865103,0.00002189099,0.01189115,0.0004211001,0.0003437022,0.000002419285,3.035423e-7,0.00001621466,0.0007929484],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03235932,"threshold_uncertainty_score":0.4435431,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02896354707182008,"score_gpt":0.3210503284573556,"score_spread":0.2920867813855355,"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."}}