{"id":"W2781517426","doi":"10.1007/s00013-017-1134-0","title":"Group gradings on upper block triangular matrices","year":2018,"lang":"de","type":"article","venue":"Archiv der Mathematik","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Algebraically closed field; Abelian group; Tensor product; Commutative property; Triangular matrix; Block (permutation group theory); Invariant (physics); Group (periodic table)","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":[0.0009097283,0.001084352,0.0009155859,0.003985528,0.001851544,0.003657373,0.001061774,0.001238154,0.02830855],"category_scores_gemma":[0.002853046,0.0004869374,0.0006490837,0.001504563,0.002520641,0.003890112,0.002569058,0.002405296,0.004693852],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001304818,"about_ca_system_score_gemma":0.0005854397,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001098793,"about_ca_topic_score_gemma":0.001455287,"domain_scores_codex":[0.9987846,0.0002425832,0.00005612833,0.0001574947,0.0003827299,0.0003765726],"domain_scores_gemma":[0.9980502,0.0003541426,0.0002932481,0.00025171,0.0003704978,0.0006801807],"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":[0.00008643042,0.00003223942,0.0001914617,0.00002526346,0.000005523015,0.0001085979,0.0002748457,0.0004737133,0.002335352,0.9865867,0.002454379,0.007425551],"study_design_scores_gemma":[0.00002795352,0.00003733032,0.0002999926,0.00001546386,0.000006978929,0.0001571506,0.0001223379,0.003101405,0.001311001,0.9900995,0.004796772,0.00002422308],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.575606,0.0006493742,0.1450862,0.0028126,0.001985546,0.0001966154,0.0008077601,0.001057131,0.2717988],"genre_scores_gemma":[0.8690842,0.0003938108,0.01489796,0.0008634519,0.0007524262,0.000135298,0.0004861366,0.0004603751,0.1129262],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02830855,"threshold_uncertainty_score":0.09470153,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02882435235658682,"score_gpt":0.3023070275749129,"score_spread":0.2734826752183261,"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."}}