{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001340845,0.0002561077,0.0005906814,0.0001191619,0.0001305921,0.0001615019,0.0003962801,0.00008801615,0.0002388623],"category_scores_gemma":[0.002563803,0.0001734391,0.0001628069,0.0002075082,0.0002556946,0.0002571307,0.00009777135,0.0003719613,0.0001479885],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007633901,"about_ca_system_score_gemma":0.0003356585,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002871198,"about_ca_topic_score_gemma":0.00000136335,"domain_scores_codex":[0.9975531,0.000125408,0.0008824065,0.0002306021,0.000772024,0.0004364575],"domain_scores_gemma":[0.9981194,0.00008599914,0.0003948094,0.0004386713,0.0006123466,0.0003488107],"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":[0.001241037,0.005091408,0.001382406,0.004132675,0.001102769,0.0002802093,0.0242319,0.0001007508,0.2912013,0.5353873,0.1292745,0.00657376],"study_design_scores_gemma":[0.001730691,0.0002991255,0.00006626487,0.000539646,0.0001390022,0.001069106,0.0006602662,0.0004796672,0.112146,0.8798546,0.002585414,0.0004302027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9904484,0.0004151408,0.003387052,0.0006811263,0.0004906699,0.0002935604,0.000003361889,0.00008379342,0.004196874],"genre_scores_gemma":[0.9513837,0.00002130468,0.04551751,0.0000830149,0.0007384932,0.000008588434,0.000001206751,0.00006178385,0.002184459],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3444673,"threshold_uncertainty_score":0.707264,"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."}}