{"paper":{"title":"Auslander class, $\\g_C$ and $C$--projective modules modulo exact zero-divisors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Ensiyeh Amanzadeh, Mohammad T. Dibaei","submitted_at":"2013-01-17T12:43:25Z","abstract_excerpt":"For a semidualizing module $C$ over a ring $R$, we study the following classes modulo exact zero divisors: $\\g_C$--projectives, $\\mathcal G_C$; the Auslander class $\\mathcal A_C$; the Bass class $\\mathcal B_C$; $\\mathcal{P}_C$--projective; $ {\\mathcal F}_C$--projective; and ${\\mathcal I}_C$--injective dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4078","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}