{"id":"W3036335817","doi":"10.1007/s10468-021-10040-2","title":"Lattices over Bass Rings and Graph Agglomerations","year":2021,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Karl-Franzens-Universität Graz; University of Waterloo; Austrian Science Fund","keywords":"Monoid; Homomorphism; Factorization; Arithmetic function; Graph; Polynomial ring; Directed graph","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007669711,0.0002869192,0.0003330777,0.00136807,0.0008670148,0.001322656,0.0003614362,0.000345156,0.00464332],"category_scores_gemma":[0.00100749,0.0002055624,0.0004223317,0.0004422594,0.001907783,0.002654255,0.001479238,0.0006620586,0.00044771],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006712276,"about_ca_system_score_gemma":0.0002290197,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006228117,"about_ca_topic_score_gemma":0.0005840487,"domain_scores_codex":[0.9994987,0.0001123449,0.00002382913,0.0001134574,0.0001297105,0.0001219018],"domain_scores_gemma":[0.9990612,0.0002427353,0.0002037324,0.00007538877,0.0001257801,0.0002912236],"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":[0.00009110526,0.00002898434,0.001458979,0.00004497148,0.00001440468,0.0002753001,0.0006461335,0.002762977,0.004753472,0.9849157,0.0003022404,0.004705619],"study_design_scores_gemma":[0.00004047467,0.0001329778,0.003400527,0.00003937933,0.00003731597,0.0008169946,0.0009427872,0.02321279,0.0063516,0.9577437,0.007239642,0.00004171004],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9001706,0.000698306,0.08111121,0.0002911653,0.00004579478,0.00002470043,0.00007358413,0.0001317604,0.01745276],"genre_scores_gemma":[0.9905799,0.000118579,0.005834127,0.00003092363,0.00003977252,0.00001224832,0.00003132577,0.00001079438,0.003342343],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00464332,"threshold_uncertainty_score":0.01553345,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02804778117956767,"score_gpt":0.3045993796960183,"score_spread":0.2765515985164506,"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."}}