{"id":"W2024856258","doi":"10.1006/jabr.2001.8855","title":"Bijective Relative Gabriel Correspondence over Rings with Torsion Theoretic Krull Dimension","year":2001,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Krull dimension; Torsion (gastropod); Commutative algebra; Pure mathematics; Global dimension; Algebra over a field; Dimension theory (algebra); Noetherian; Discrete mathematics; Dimension (graph theory)","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":[0.001858825,0.0006259967,0.0009527467,0.003378701,0.003284611,0.006251832,0.001187917,0.001469693,0.008922948],"category_scores_gemma":[0.003559988,0.0006902549,0.0006295674,0.001785365,0.003407232,0.01206301,0.003658972,0.00263587,0.001440313],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001429504,"about_ca_system_score_gemma":0.0006580324,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003084927,"about_ca_topic_score_gemma":0.0003503209,"domain_scores_codex":[0.9980969,0.0004780276,0.0001199995,0.0004535036,0.0005444096,0.0003070683],"domain_scores_gemma":[0.9976472,0.0008670233,0.0003495412,0.0003281858,0.0003539324,0.0004540571],"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":[0.00004085368,0.00002359319,0.0002068058,0.00002484287,0.000006701485,0.00008409286,0.0003265993,0.0001527667,0.0006141397,0.9945826,0.0005699292,0.003367099],"study_design_scores_gemma":[0.00003034955,0.00003672723,0.0003326512,0.00001678915,0.00001893804,0.0004636118,0.0003028534,0.00134977,0.001224942,0.9896004,0.006598272,0.00002473314],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6235649,0.002869018,0.1586837,0.004192885,0.0008231306,0.0001271393,0.0005373622,0.001292663,0.2079092],"genre_scores_gemma":[0.9617896,0.0007182808,0.01737553,0.0004203426,0.0004991475,0.00007013648,0.0001755458,0.0001580215,0.01879337],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008922948,"threshold_uncertainty_score":0.02985018,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01639557459414398,"score_gpt":0.2658725003353953,"score_spread":0.2494769257412514,"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."}}