{"id":"W2011631939","doi":"10.1017/s1446788700003815","title":"Mono-unary algebras are strongly dualizable","year":2002,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Northern British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Strong","keywords":"Unary operation; Mathematics; Rank (graph theory); Injective function; Arity; Duality (order theory); Pure mathematics; Algebra over a field; Combinatorics","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":[0.00177337,0.000393153,0.0004576888,0.001043659,0.00107422,0.003562627,0.000588966,0.00055761,0.007118202],"category_scores_gemma":[0.00294964,0.0004647516,0.000783575,0.0004501604,0.003244287,0.004735654,0.003169844,0.00217281,0.0009616072],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008312394,"about_ca_system_score_gemma":0.0005976833,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003288976,"about_ca_topic_score_gemma":0.0003132205,"domain_scores_codex":[0.9980839,0.0005091666,0.0001378929,0.0003915779,0.0004877113,0.000389777],"domain_scores_gemma":[0.9973695,0.0006936769,0.0003366327,0.0004523499,0.0007552583,0.0003925885],"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":[0.0001405424,0.00007525046,0.0007032661,0.0000760858,0.00002329373,0.0001763348,0.0005285977,0.0005539461,0.00875924,0.9798127,0.0007430652,0.008407546],"study_design_scores_gemma":[0.00005634636,0.000142716,0.0006874668,0.00002635647,0.00003994157,0.0004258269,0.0003797155,0.004265746,0.0129952,0.9691408,0.01180748,0.00003243655],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6125591,0.000570658,0.2493023,0.001182112,0.0003282978,0.0002104268,0.0004841283,0.001256584,0.1341065],"genre_scores_gemma":[0.9741746,0.0000959816,0.01357606,0.0001767862,0.00009775331,0.00005652749,0.0001466819,0.00006226142,0.01161334],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007118202,"threshold_uncertainty_score":0.02381271,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04007587736604894,"score_gpt":0.2592068084270502,"score_spread":0.2191309310610013,"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."}}