{"id":"W2330310135","doi":"10.4153/cmb-2002-048-4","title":"Coordinatization Theorems For Graded Algebras","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Associative property; Simple (philosophy); Pure mathematics; Bilinear form; Algebra over a field; Simple module; Bilinear interpolation","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"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":[0.00124862,0.0004087698,0.0004726075,0.001243318,0.001728686,0.001692188,0.0006644099,0.0004063736,0.008401311],"category_scores_gemma":[0.001761223,0.0002942221,0.0008603311,0.000777363,0.00262311,0.003167132,0.00202248,0.00111918,0.0009212593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001816014,"about_ca_system_score_gemma":0.0006209171,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001219006,"about_ca_topic_score_gemma":0.0009236799,"domain_scores_codex":[0.9992313,0.000150476,0.00005066983,0.0001826125,0.0002660267,0.000118958],"domain_scores_gemma":[0.9991766,0.0002232116,0.000143832,0.0001416713,0.0001597835,0.0001548926],"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":[0.000006947366,0.000009114688,0.0001145948,0.00001310906,0.000007165637,0.00006983866,0.0001545043,0.000445172,0.0004940655,0.9967455,0.0004842023,0.001455664],"study_design_scores_gemma":[0.00002392493,0.00002399197,0.0003504927,0.00001212861,0.00001363597,0.0001754556,0.0001648264,0.002784571,0.001407051,0.9851158,0.009916076,0.00001205693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4030913,0.00191874,0.3329111,0.002287452,0.0005579884,0.0002072315,0.0006191336,0.000968125,0.257439],"genre_scores_gemma":[0.9580167,0.0004852101,0.01854268,0.0002528031,0.0002420766,0.000127983,0.0003674554,0.00008269274,0.02188235],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008401311,"threshold_uncertainty_score":0.02810514,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05220759028169385,"score_gpt":0.2819773937805358,"score_spread":0.2297698034988419,"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."}}