{"id":"W2249732016","doi":"10.1142/s0219498816500845","title":"Leavitt path algebras satisfying a polynomial identity","year":2015,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Algebraic number; Combinatorics; Graph; Path (computing); Polynomial; Dimension (graph theory); Identity (music); Discrete mathematics; Finite graph; Zero (linguistics); Computer science","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001443978,0.0003815556,0.0008296515,0.0003689486,0.0002453098,0.0003033406,0.0008494926,0.0003690962,0.00008285007],"category_scores_gemma":[0.0008659416,0.0003407566,0.0002438871,0.0003206193,0.0001196766,0.0006523934,0.0009654771,0.001687439,0.00003777181],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002818673,"about_ca_system_score_gemma":0.0008544194,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008201098,"about_ca_topic_score_gemma":0.00002308813,"domain_scores_codex":[0.996865,0.0001584885,0.001188296,0.000426287,0.0009636601,0.0003982468],"domain_scores_gemma":[0.9960217,0.0004177474,0.001165048,0.0006108814,0.001276049,0.0005085791],"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":[0.0003453731,0.001647949,0.00207647,0.002975231,0.001683643,0.0001574691,0.004877126,0.0001857273,0.01130602,0.8628391,0.0752856,0.03662029],"study_design_scores_gemma":[0.00127063,0.0001959671,0.0008348891,0.0004188087,0.0003689996,0.0003278561,0.0005446732,0.0003682715,0.001215857,0.9852015,0.008602064,0.0006505126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9255436,0.01023384,0.05868319,0.001706326,0.000497481,0.0019264,0.0001600871,0.00009467435,0.001154419],"genre_scores_gemma":[0.9572832,0.00211671,0.03758593,0.0001467164,0.001981896,0.0002291252,0.00002093119,0.0001416821,0.0004938366],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1223624,"threshold_uncertainty_score":0.9999045,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08169201862838298,"score_gpt":0.3921109642519084,"score_spread":0.3104189456235254,"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."}}