{"id":"W2332947163","doi":"10.1017/s001708951500021x","title":"GENERALISED ARMENDARIZ PROPERTIES OF CROSSED PRODUCT TYPE","year":2015,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Anhui University of Technology; Memorial University of Newfoundland; Anhui University","keywords":"Mathematics; Monoid; Ring (chemistry); Ideal (ethics); Pure mathematics; Context (archaeology); Product (mathematics); Semiprime ring; Type (biology); Combinatorics; Algebra over a field; Law; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001221519,0.0002509223,0.0003996137,0.001493856,0.0008477394,0.002056331,0.0005354257,0.0003744899,0.005595834],"category_scores_gemma":[0.002308661,0.0002616227,0.0004967516,0.0007454288,0.002181029,0.002760908,0.002022621,0.0007825721,0.0004983972],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007928016,"about_ca_system_score_gemma":0.0002306558,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003302723,"about_ca_topic_score_gemma":0.0002249567,"domain_scores_codex":[0.9988812,0.0002260687,0.0000922891,0.0002324063,0.0003686048,0.0001994137],"domain_scores_gemma":[0.9979818,0.0005175227,0.0004672116,0.0003663505,0.0003364396,0.0003306483],"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":[0.0002048197,0.00002472612,0.002247729,0.00007725318,0.00002666152,0.0005035671,0.0007079725,0.00112877,0.006340922,0.9791055,0.0004285183,0.009203561],"study_design_scores_gemma":[0.0001094033,0.0003388342,0.007024206,0.00006371392,0.00008334577,0.002698556,0.0008933995,0.007506304,0.01980539,0.9356049,0.02578165,0.00009034647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8800699,0.0005294242,0.06868897,0.0002640943,0.00009715182,0.00004969867,0.000232918,0.0003606056,0.04970728],"genre_scores_gemma":[0.9902264,0.00007392724,0.004857992,0.00004915307,0.00006293097,0.00001779891,0.00007897581,0.0000203518,0.00461246],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005595834,"threshold_uncertainty_score":0.01871991,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1100873855159164,"score_gpt":0.3051608316666575,"score_spread":0.1950734461507411,"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."}}