{"id":"W1988491896","doi":"10.1016/j.ejc.2013.07.007","title":"Generalization of convolution and incidence algebras","year":2013,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Semigroup; Commutative property; Ideal (ethics); Convolution (computer science); Idempotence; Pure mathematics; Incidence algebra; Bicyclic semigroup; Associative property; Generalization; Element (criminal law); Discrete mathematics; Combinatorics; Algebra over a field; Subalgebra; Division algebra","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":[0.001687714,0.0008047509,0.0009555248,0.001684341,0.001617056,0.003011193,0.001139559,0.0009353764,0.005919374],"category_scores_gemma":[0.003668589,0.0004649174,0.001677764,0.001168394,0.003351531,0.008185239,0.003141539,0.002886789,0.0007647044],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001708148,"about_ca_system_score_gemma":0.001116427,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001819741,"about_ca_topic_score_gemma":0.001314336,"domain_scores_codex":[0.9988915,0.0003217365,0.00008975822,0.0002431754,0.0002937905,0.0001600684],"domain_scores_gemma":[0.9984219,0.0004353182,0.0002058899,0.0003308234,0.0003529461,0.0002531828],"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":[0.000007039461,0.00001048579,0.0001041106,0.000009689049,0.000003781282,0.00003951053,0.0001061892,0.0002754627,0.0002452365,0.9965114,0.000270125,0.002416897],"study_design_scores_gemma":[0.000004516624,0.000007847075,0.000137442,0.000005687533,0.000005923045,0.0001076735,0.00003060513,0.002120889,0.0001758052,0.9946836,0.002712724,0.000007315861],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2552818,0.003367979,0.4757991,0.003404406,0.00118646,0.00009548965,0.0003609105,0.0004820999,0.2600218],"genre_scores_gemma":[0.9100114,0.002239679,0.04596416,0.0007651284,0.001441099,0.00007389468,0.0002494326,0.0001450118,0.03911017],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005919374,"threshold_uncertainty_score":0.01980227,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02509024815534918,"score_gpt":0.2460231640390338,"score_spread":0.2209329158836846,"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."}}