{"id":"W2094561988","doi":"10.1142/s1005386711000666","title":"Annihilator-small Right Ideals","year":2011,"lang":"en","type":"article","venue":"Algebra Colloquium","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland; University of Calgary","funders":"","keywords":"Annihilator; Ideal (ethics); Mathematics; Radical of an ideal; Radical of a ring; Minimal ideal; Primary ideal; Ring (chemistry); Pure mathematics; Associated prime; Maximal ideal; Connection (principal bundle); Principal ideal ring; Discrete mathematics; Combinatorics; Algebra over a field; Commutative ring; Law; Geometry; Chemistry; Commutative property","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":[0.001288347,0.0004793534,0.0004501475,0.001049188,0.0008287411,0.001597655,0.0003791018,0.0002268142,0.004233002],"category_scores_gemma":[0.00191455,0.0002684068,0.0004057089,0.0004930827,0.002736657,0.002552188,0.002070494,0.0007623197,0.0007827906],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003768647,"about_ca_system_score_gemma":0.0003570933,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001336298,"about_ca_topic_score_gemma":0.0002218295,"domain_scores_codex":[0.9989667,0.0001957544,0.00008604142,0.0002928402,0.0002588398,0.0001997444],"domain_scores_gemma":[0.9978799,0.0005340544,0.0003551691,0.00029849,0.0004848507,0.0004474955],"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":[0.000351704,0.0000501273,0.003186928,0.0001666583,0.00003272571,0.0006991954,0.0008671159,0.000870386,0.04327592,0.9274058,0.001891528,0.02120201],"study_design_scores_gemma":[0.0001021389,0.0003966076,0.006100096,0.00007401141,0.00008965559,0.003554566,0.0010732,0.01007079,0.1085366,0.8086149,0.06130169,0.00008580964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6808388,0.002043004,0.1741746,0.0005935929,0.0004414295,0.0001420352,0.000367642,0.0007272665,0.1406716],"genre_scores_gemma":[0.9746501,0.0003807236,0.01452524,0.000113129,0.0002558079,0.00004918828,0.0001664901,0.00006491751,0.009794277],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004233002,"threshold_uncertainty_score":0.01416081,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.052602365464234,"score_gpt":0.2626529314494828,"score_spread":0.2100505659852488,"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."}}