{"id":"W2963165346","doi":"10.1017/s0027763000009806","title":"Dualizing Complex of a Toric Face Ring","year":2009,"lang":"en","type":"article","venue":"Nagoya Mathematical Journal","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Affine transformation; Semigroup; Ring (chemistry); Pure mathematics; Normality; Face (sociological concept); Philosophy; 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":[0.0002723781,0.0002482732,0.0003131641,0.0006897095,0.0009305998,0.001659379,0.0003445292,0.000341905,0.004202218],"category_scores_gemma":[0.0005244219,0.0001665155,0.0002824132,0.0002077466,0.00167619,0.00142681,0.001236288,0.0008501132,0.0003795604],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007959335,"about_ca_system_score_gemma":0.0004739036,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008626747,"about_ca_topic_score_gemma":0.0005496292,"domain_scores_codex":[0.9997597,0.00003084536,0.0000113392,0.00006522382,0.00007947278,0.00005343356],"domain_scores_gemma":[0.9997517,0.0000339712,0.00003465113,0.00002592657,0.00005413982,0.00009959973],"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":[0.00005372674,0.00002600018,0.000805293,0.00004016509,0.000007572593,0.0006558581,0.0003770702,0.00119434,0.01061578,0.9801688,0.0008133144,0.005242036],"study_design_scores_gemma":[0.0001348478,0.0003457828,0.005892572,0.00004632707,0.00009340797,0.006440422,0.002300577,0.03245647,0.05072418,0.8169566,0.08448733,0.0001214669],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8413292,0.000478633,0.07931096,0.0006451951,0.0002229254,0.0001497836,0.0002711769,0.0001976095,0.07739445],"genre_scores_gemma":[0.9763622,0.0001378246,0.01113953,0.0001031163,0.00006396144,0.00003954174,0.0001395724,0.00002183827,0.01199244],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004202218,"threshold_uncertainty_score":0.01405782,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1203615503335671,"score_gpt":0.3913101167228721,"score_spread":0.270948566389305,"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."}}