{"id":"W2010996848","doi":"10.1142/s0219498806001661","title":"CLIFFORD CLASSES OF PRIMITIVE CENTRAL SIMPLE G-ALGEBRAS","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Central simple algebra; Abelian extension; Ring (chemistry); Algebra over a field; Simple (philosophy); Group algebra; Pure mathematics; Galois group; Simple module; Cellular algebra; Combinatorics; Algebra representation; Chemistry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0001619987,0.0001336605,0.0003234725,0.0001117143,0.00009620559,0.00002082402,0.0001987403,0.00007953342,0.00005448114],"category_scores_gemma":[0.0001615957,0.0001142175,0.0001103257,0.0002017219,0.00008986446,0.0002189188,0.00004740169,0.000204408,0.000002966052],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004167244,"about_ca_system_score_gemma":0.00007822239,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002392645,"about_ca_topic_score_gemma":0.000007284887,"domain_scores_codex":[0.9986539,0.00002875966,0.0007263172,0.0001298032,0.0002499761,0.0002112695],"domain_scores_gemma":[0.9981793,0.0004535417,0.0007473576,0.0001870676,0.0003379033,0.00009479922],"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":[0.00001358796,0.0002148809,0.0008955485,0.00006566855,0.0000431893,0.000002333572,0.00009576968,0.000005025115,0.00353231,0.9917032,0.001397819,0.002030694],"study_design_scores_gemma":[0.0004597963,0.00009525627,0.007755511,0.00003451304,0.00009247693,0.00007220736,0.0001704127,0.00002422094,0.01750338,0.9600829,0.01358414,0.0001251237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9386193,0.0008534688,0.05611487,0.0004978969,0.00006653961,0.0003791385,0.00002941001,0.00002437865,0.00341501],"genre_scores_gemma":[0.9770805,0.0002113984,0.02205393,0.00005374953,0.0003590378,0.00001483706,0.000004594258,0.00002207414,0.0001999194],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03846117,"threshold_uncertainty_score":0.4657656,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02541469122841177,"score_gpt":0.3127361301032919,"score_spread":0.2873214388748801,"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."}}