{"id":"W4396768810","doi":"10.1016/j.jalgebra.2024.04.019","title":"The Hochschild cohomology ring of monomial algebras","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Technion-Israel Institute of Technology; Consejo Nacional de Investigaciones Científicas y Técnicas; Deutsche Forschungsgemeinschaft; Bundesministerium für Bildung und Forschung; Pacific Institute for the Mathematical Sciences; Alexander von Humboldt-Stiftung; Simons Foundation","keywords":"Mathematics; Monomial; Cohomology ring; Ring (chemistry); Path (computing); Cohomology; Pure mathematics; Equivariant cohomology; Algebra over a field; Computer science; Chemistry; Organic chemistry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007218198,0.0001475906,0.0003706673,0.0001105224,0.0001097846,0.00008091611,0.0004350975,0.0001127649,0.00005593069],"category_scores_gemma":[0.000327575,0.00008918335,0.0003015094,0.000157753,0.0001202406,0.0001475533,0.00008587138,0.0004470693,0.000005564206],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005499348,"about_ca_system_score_gemma":0.0001756866,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006259094,"about_ca_topic_score_gemma":0.00000318941,"domain_scores_codex":[0.9984809,0.0000879354,0.0007560615,0.0001172133,0.0003349948,0.0002229543],"domain_scores_gemma":[0.9981223,0.001024059,0.0003909035,0.0002394573,0.0001423885,0.00008084917],"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":[0.00008179511,0.00002459327,0.00009743471,0.00004993768,0.000292563,0.00003823311,0.0004003366,0.00001357236,0.0002683511,0.9917507,0.003553516,0.003428972],"study_design_scores_gemma":[0.0003808226,0.0002202198,0.0003826687,0.0001163461,0.0001140282,0.000278273,0.000118759,0.0001517569,0.002517974,0.9924915,0.003131081,0.00009656272],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9892549,0.003398999,0.001248554,0.0008146766,0.004192924,0.00009902567,0.000001617,0.00002362748,0.000965703],"genre_scores_gemma":[0.9976265,0.0001637408,0.0006904696,0.00003712237,0.001316198,0.000001664273,1.790133e-7,0.00002828213,0.0001358468],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008371623,"threshold_uncertainty_score":0.3636791,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01961379060555787,"score_gpt":0.2929395519582881,"score_spread":0.2733257613527302,"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."}}