{"id":"W7110468400","doi":"","title":"Gröbner-Shirshov bases in some noncommutative algebras","year":2014,"lang":"en","type":"dissertation","venue":"Mspace (University of Manitoba)","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Noncommutative geometry; Dimension (graph theory); Differential (mechanical device); Polynomial; Basis (linear algebra); Differential algebra; Algebra over a field","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":[0.001374852,0.0003953865,0.0006258696,0.001812953,0.0008819435,0.002060285,0.000763181,0.0004807482,0.004064874],"category_scores_gemma":[0.002947949,0.0003410649,0.0005789685,0.002174851,0.001391726,0.004387808,0.001688229,0.001640385,0.0007490719],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009850299,"about_ca_system_score_gemma":0.000749893,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004508392,"about_ca_topic_score_gemma":0.0005962043,"domain_scores_codex":[0.9992518,0.0001590912,0.00006226758,0.000115508,0.0003184552,0.00009283861],"domain_scores_gemma":[0.9992148,0.0003287948,0.0000705149,0.0001267516,0.0001677661,0.00009141211],"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":[0.00003290139,0.00003194174,0.0005317241,0.00006265028,0.000007248535,0.00004607539,0.0002661811,0.004893123,0.001869275,0.9573495,0.0008032175,0.03410601],"study_design_scores_gemma":[0.00001679125,0.00002272378,0.0003924,0.00002198848,0.0000055225,0.00006312861,0.0001127012,0.0264377,0.003627089,0.9638724,0.005411231,0.00001628844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3447627,0.001648683,0.6144384,0.0008397931,0.0001978785,0.0001960252,0.0006092449,0.0007040032,0.03660323],"genre_scores_gemma":[0.6920705,0.0011,0.2987927,0.0001777561,0.0002041906,0.0001728307,0.0008119406,0.00012189,0.006548116],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004064874,"threshold_uncertainty_score":0.01359838,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01198264619849338,"score_gpt":0.2101983275762944,"score_spread":0.1982156813778011,"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."}}