{"id":"W2025381138","doi":"10.1080/00927870601042134","title":"Characterizations of QF Rings","year":2006,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Annihilator; Mathematics; Radical of a ring; Ring (chemistry); Ideal (ethics); Complement (music); Primitive ring; Injective function; Noetherian ring; Principal ideal ring; Noetherian; Injective module; Reduced ring; Pure mathematics; Von Neumann regular ring; Combinatorics; Commutative ring; Algebra over a field; Finitely-generated abelian group; Chemistry; Commutative property","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":true,"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":[0.001308721,0.0002826241,0.0002716387,0.001747979,0.001091755,0.002194203,0.0004172941,0.0004181229,0.006671911],"category_scores_gemma":[0.002342043,0.0002005876,0.0004227321,0.0008799466,0.002175398,0.003687543,0.00180808,0.0006553028,0.0006352611],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009196421,"about_ca_system_score_gemma":0.0003665239,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004401772,"about_ca_topic_score_gemma":0.0002139004,"domain_scores_codex":[0.9987403,0.0002906406,0.00008116525,0.0002580046,0.000342158,0.0002877009],"domain_scores_gemma":[0.9975036,0.0008488568,0.0004154489,0.0002964727,0.000565631,0.0003699349],"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":[0.0001389499,0.00003563295,0.003800743,0.0001207297,0.00001469829,0.0004312774,0.0008844657,0.001099312,0.007339835,0.9631696,0.001473284,0.02149159],"study_design_scores_gemma":[0.00006127048,0.000170016,0.009506357,0.00009175501,0.0000365035,0.00307276,0.001086843,0.01048786,0.01469491,0.91164,0.04907948,0.00007209918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7747888,0.00218041,0.1401575,0.001201103,0.0001684838,0.0001119541,0.000774238,0.0003862791,0.0802313],"genre_scores_gemma":[0.9885373,0.0002068121,0.006775219,0.00007892865,0.0001290688,0.00002958318,0.0001888029,0.00001827351,0.004035943],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006671911,"threshold_uncertainty_score":0.02231973,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05316991440449124,"score_gpt":0.3125438590022462,"score_spread":0.259373944597755,"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."}}