{"id":"W1995021079","doi":"10.1007/s00012-010-0092-1","title":"Rings and Gödel algebras","year":2010,"lang":"en","type":"article","venue":"Algebra Universalis","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Subcategory; Morphism; Pure mathematics; Algebraic structure; Semiring; Ring theory; Ring (chemistry); Algebra over a field; Combinatorics; Commutative ring; Commutative property","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001134131,0.0001670221,0.0001485752,0.0001250527,0.0001799259,0.0001187075,0.0007126873,0.00009642199,0.00008116908],"category_scores_gemma":[0.00004263008,0.0001575186,0.00004763135,0.0003293473,0.0001482275,0.001033152,0.0003626366,0.0002893775,0.00007858472],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001324404,"about_ca_system_score_gemma":0.00003876963,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005166203,"about_ca_topic_score_gemma":0.00005078498,"domain_scores_codex":[0.9989153,0.00002296304,0.0001263306,0.0004444456,0.0001708373,0.0003201447],"domain_scores_gemma":[0.9990506,0.00008953171,0.0000641217,0.0005507329,0.00005434047,0.000190745],"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":[0.000002392753,0.00001852604,0.001019138,0.000003773795,0.0000107158,0.00004142744,0.0004407884,0.000001819609,0.004766932,0.9736961,0.0005948386,0.01940356],"study_design_scores_gemma":[0.002476156,0.0003220819,0.04818865,0.00003112185,0.0000504553,0.0004231311,0.0004550924,0.009590601,0.01862771,0.680554,0.2375196,0.001761353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8482499,0.0001244592,0.129601,0.002495739,0.0007187895,0.0001624947,0.000003555867,0.0006054725,0.01803855],"genre_scores_gemma":[0.9654334,0.00003178827,0.0328687,0.000853903,0.00008034988,0.00000251474,0.000002525455,0.00001269477,0.0007141662],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.293142,"threshold_uncertainty_score":0.6423424,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004920701982063427,"score_gpt":0.1989530445975166,"score_spread":0.1940323426154532,"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."}}