{"id":"W1965168466","doi":"10.1007/s002330010136","title":"Absolutely annihilator-flat monoids","year":2002,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annihilator; Mathematics; Monoid; Flatness (cosmology); Pure mathematics; Ideal (ethics); Combinatorics; Algebra over a field; Philosophy; Physics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000249077,0.0002614626,0.0002443248,0.0001361348,0.0002377442,0.0002268007,0.001397027,0.0001379118,0.0003030133],"category_scores_gemma":[0.000026883,0.0002405456,0.0002152355,0.0004950675,0.00006867004,0.000943083,0.0004548089,0.0002235119,0.001520941],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005593248,"about_ca_system_score_gemma":0.00001161033,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002138397,"about_ca_topic_score_gemma":0.000006860675,"domain_scores_codex":[0.9979525,0.00004744107,0.0003112162,0.0005713518,0.0003523663,0.000765171],"domain_scores_gemma":[0.9984652,0.00008670966,0.0001023549,0.001097928,0.00004219041,0.0002056317],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000007616587,0.0001843666,0.002205734,0.00002870809,0.00008665481,0.0001283629,0.001778247,0.00004811425,0.006424782,0.4182086,0.393561,0.1773378],"study_design_scores_gemma":[0.001296204,0.0003534812,0.002735156,0.00009075274,0.00002584052,0.0002503006,0.0003079703,0.3774232,0.01050105,0.05690435,0.5486128,0.001498939],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2541479,0.01656133,0.4775039,0.02999165,0.005723854,0.001153828,0.00004668968,0.006419675,0.2084512],"genre_scores_gemma":[0.9802245,0.0001026553,0.009616624,0.00285947,0.0001873691,0.00002312973,0.000004306974,0.00003425248,0.006947638],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7260766,"threshold_uncertainty_score":0.9992565,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01338994140900636,"score_gpt":0.2026683342984262,"score_spread":0.1892783928894198,"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."}}