{"id":"W1983147651","doi":"10.1016/j.jalgebra.2010.10.012","title":"Maximal T-spaces of a free associative algebra","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Bijection; Associative property; Maximal element; Associative algebra; Lattice (music); Singleton; Element (criminal law); Maximal ideal; Ideal (ethics); Unitary state; Combinatorics; Incidence algebra; Discrete mathematics; Pure mathematics; Set (abstract data type); Algebra over a field; Division algebra; Algebra representation","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":[0.0006443213,0.0001701764,0.000425892,0.000213921,0.00008019555,0.00008689798,0.001739362,0.0001219194,0.00008345706],"category_scores_gemma":[0.000606171,0.000130406,0.0002470147,0.0004175859,0.0001162124,0.001050252,0.0002971232,0.0006654247,0.00001560391],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003127783,"about_ca_system_score_gemma":0.0001783258,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000489716,"about_ca_topic_score_gemma":0.00001305149,"domain_scores_codex":[0.9982451,0.00007450363,0.0005862383,0.000188084,0.0006051824,0.0003008835],"domain_scores_gemma":[0.9975132,0.0002889766,0.001105368,0.0004863155,0.0004365743,0.0001695545],"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":[0.00008248542,0.0005037485,0.00846832,0.00003429506,0.0003012597,0.0002412438,0.00387406,0.00003781227,0.07470351,0.8634089,0.006686041,0.04165836],"study_design_scores_gemma":[0.002422234,0.001383699,0.05700006,0.00008661483,0.0000646519,0.0005423282,0.0003923693,0.0008791451,0.05826686,0.8724427,0.005990913,0.0005284358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8996484,0.0003358048,0.09276812,0.003116525,0.001439517,0.00009184883,0.000005362422,0.0000408651,0.002553534],"genre_scores_gemma":[0.9095879,0.00002819135,0.0896799,0.0002667554,0.0003025325,0.000001146084,2.607945e-7,0.00001085108,0.0001224207],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04853174,"threshold_uncertainty_score":0.5317801,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009695783247799737,"score_gpt":0.2423842695785353,"score_spread":0.2326884863307356,"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."}}